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Finding the Fourth Proportional to 7,661.91, 11,474.64 and 4,731.33

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Solution

The fourth proportional to 7,661.91, 11,474.64 and 4,731.33 is: 7,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.91 : 11,474.64 = 4,731.33 : x
  2. Step 2: Convert to fraction form
    7,661.91/11,474.64 = 4,731.33/x
  3. Step 3: Cross multiply
    7,661.91x = 11,474.64 × 4,731.33
  4. Step 4: Simplify right side
    7,661.91x = 54,290,308.47
  5. Step 5: Solve for x
    x = 54,290,308.47/7,661.91
  6. Step 6: Final answer
    x = 7,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.