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Finding the Fourth Proportional to 11,710.16, 16,160.42 and 6,404.97

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Solution

The fourth proportional to 11,710.16, 16,160.42 and 6,404.97 is: 8,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.16 : 16,160.42 = 6,404.97 : x
  2. Step 2: Convert to fraction form
    11,710.16/16,160.42 = 6,404.97/x
  3. Step 3: Cross multiply
    11,710.16x = 16,160.42 × 6,404.97
  4. Step 4: Simplify right side
    11,710.16x = 103,506,973.26
  5. Step 5: Solve for x
    x = 103,506,973.26/11,710.16
  6. Step 6: Final answer
    x = 8,839.08

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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.