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Finding the Fourth Proportional to 8,339.76, 11,504.73 and 5,314.11

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Solution

The fourth proportional to 8,339.76, 11,504.73 and 5,314.11 is: 7,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.76 : 11,504.73 = 5,314.11 : x
  2. Step 2: Convert to fraction form
    8,339.76/11,504.73 = 5,314.11/x
  3. Step 3: Cross multiply
    8,339.76x = 11,504.73 × 5,314.11
  4. Step 4: Simplify right side
    8,339.76x = 61,137,400.74
  5. Step 5: Solve for x
    x = 61,137,400.74/8,339.76
  6. Step 6: Final answer
    x = 7,330.83

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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.