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Finding the Fourth Proportional to 11,572.69, 15,984.56 and 8,380.93

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Solution

The fourth proportional to 11,572.69, 15,984.56 and 8,380.93 is: 11,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.69 : 15,984.56 = 8,380.93 : x
  2. Step 2: Convert to fraction form
    11,572.69/15,984.56 = 8,380.93/x
  3. Step 3: Cross multiply
    11,572.69x = 15,984.56 × 8,380.93
  4. Step 4: Simplify right side
    11,572.69x = 133,965,478.44
  5. Step 5: Solve for x
    x = 133,965,478.44/11,572.69
  6. Step 6: Final answer
    x = 11,576.00

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.