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Finding the Fourth Proportional to 10,387.62, 14,335.20 and 5,672.16

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Solution

The fourth proportional to 10,387.62, 14,335.20 and 5,672.16 is: 7,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.62 : 14,335.20 = 5,672.16 : x
  2. Step 2: Convert to fraction form
    10,387.62/14,335.20 = 5,672.16/x
  3. Step 3: Cross multiply
    10,387.62x = 14,335.20 × 5,672.16
  4. Step 4: Simplify right side
    10,387.62x = 81,311,548.03
  5. Step 5: Solve for x
    x = 81,311,548.03/10,387.62
  6. Step 6: Final answer
    x = 7,827.74

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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.