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Finding the Fourth Proportional to 10,538.16, 14,541.92 and 6,061.89

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Solution

The fourth proportional to 10,538.16, 14,541.92 and 6,061.89 is: 8,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.16 : 14,541.92 = 6,061.89 : x
  2. Step 2: Convert to fraction form
    10,538.16/14,541.92 = 6,061.89/x
  3. Step 3: Cross multiply
    10,538.16x = 14,541.92 × 6,061.89
  4. Step 4: Simplify right side
    10,538.16x = 88,151,489.12
  5. Step 5: Solve for x
    x = 88,151,489.12/10,538.16
  6. Step 6: Final answer
    x = 8,364.98

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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.