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Finding the Fourth Proportional to 11,534.13, 15,915.92 and 6,497.55

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Solution

The fourth proportional to 11,534.13, 15,915.92 and 6,497.55 is: 8,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.13 : 15,915.92 = 6,497.55 : x
  2. Step 2: Convert to fraction form
    11,534.13/15,915.92 = 6,497.55/x
  3. Step 3: Cross multiply
    11,534.13x = 15,915.92 × 6,497.55
  4. Step 4: Simplify right side
    11,534.13x = 103,414,453.51
  5. Step 5: Solve for x
    x = 103,414,453.51/11,534.13
  6. Step 6: Final answer
    x = 8,965.95

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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.