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Finding the Fourth Proportional to 10,432.64, 14,398.49 and 5,956.78

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Solution

The fourth proportional to 10,432.64, 14,398.49 and 5,956.78 is: 8,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.64 : 14,398.49 = 5,956.78 : x
  2. Step 2: Convert to fraction form
    10,432.64/14,398.49 = 5,956.78/x
  3. Step 3: Cross multiply
    10,432.64x = 14,398.49 × 5,956.78
  4. Step 4: Simplify right side
    10,432.64x = 85,768,637.26
  5. Step 5: Solve for x
    x = 85,768,637.26/10,432.64
  6. Step 6: Final answer
    x = 8,221.18

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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.