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Finding the Fourth Proportional to 11,470.48, 15,829.36 and 7,489.20

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Solution

The fourth proportional to 11,470.48, 15,829.36 and 7,489.20 is: 10,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.48 : 15,829.36 = 7,489.20 : x
  2. Step 2: Convert to fraction form
    11,470.48/15,829.36 = 7,489.20/x
  3. Step 3: Cross multiply
    11,470.48x = 15,829.36 × 7,489.20
  4. Step 4: Simplify right side
    11,470.48x = 118,549,242.91
  5. Step 5: Solve for x
    x = 118,549,242.91/11,470.48
  6. Step 6: Final answer
    x = 10,335.16

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