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Finding the Fourth Proportional to 10,432.26, 14,397.72 and 5,956.65

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Solution

The fourth proportional to 10,432.26, 14,397.72 and 5,956.65 is: 8,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.26 : 14,397.72 = 5,956.65 : x
  2. Step 2: Convert to fraction form
    10,432.26/14,397.72 = 5,956.65/x
  3. Step 3: Cross multiply
    10,432.26x = 14,397.72 × 5,956.65
  4. Step 4: Simplify right side
    10,432.26x = 85,762,178.84
  5. Step 5: Solve for x
    x = 85,762,178.84/10,432.26
  6. Step 6: Final answer
    x = 8,220.86

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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.