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Finding the Fourth Proportional to 11,411.98, 15,743.68 and 7,160.13

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Solution

The fourth proportional to 11,411.98, 15,743.68 and 7,160.13 is: 9,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.98 : 15,743.68 = 7,160.13 : x
  2. Step 2: Convert to fraction form
    11,411.98/15,743.68 = 7,160.13/x
  3. Step 3: Cross multiply
    11,411.98x = 15,743.68 × 7,160.13
  4. Step 4: Simplify right side
    11,411.98x = 112,726,795.48
  5. Step 5: Solve for x
    x = 112,726,795.48/11,411.98
  6. Step 6: Final answer
    x = 9,877.93

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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.