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Finding the Fourth Proportional to 10,463.42, 14,436.04 and 6,215.78

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Solution

The fourth proportional to 10,463.42, 14,436.04 and 6,215.78 is: 8,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.42 : 14,436.04 = 6,215.78 : x
  2. Step 2: Convert to fraction form
    10,463.42/14,436.04 = 6,215.78/x
  3. Step 3: Cross multiply
    10,463.42x = 14,436.04 × 6,215.78
  4. Step 4: Simplify right side
    10,463.42x = 89,731,248.71
  5. Step 5: Solve for x
    x = 89,731,248.71/10,463.42
  6. Step 6: Final answer
    x = 8,575.71

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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.