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Finding the Fourth Proportional to 10,425.33, 14,387.01 and 6,176.16

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Solution

The fourth proportional to 10,425.33, 14,387.01 and 6,176.16 is: 8,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.33 : 14,387.01 = 6,176.16 : x
  2. Step 2: Convert to fraction form
    10,425.33/14,387.01 = 6,176.16/x
  3. Step 3: Cross multiply
    10,425.33x = 14,387.01 × 6,176.16
  4. Step 4: Simplify right side
    10,425.33x = 88,856,475.68
  5. Step 5: Solve for x
    x = 88,856,475.68/10,425.33
  6. Step 6: Final answer
    x = 8,523.13

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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.