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Finding the Fourth Proportional to 11,497.92, 15,866.40 and 6,717.36

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Solution

The fourth proportional to 11,497.92, 15,866.40 and 6,717.36 is: 9,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.92 : 15,866.40 = 6,717.36 : x
  2. Step 2: Convert to fraction form
    11,497.92/15,866.40 = 6,717.36/x
  3. Step 3: Cross multiply
    11,497.92x = 15,866.40 × 6,717.36
  4. Step 4: Simplify right side
    11,497.92x = 106,580,320.70
  5. Step 5: Solve for x
    x = 106,580,320.70/11,497.92
  6. Step 6: Final answer
    x = 9,269.53

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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.