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Finding the Fourth Proportional to 10,432.50, 14,397.28 and 5,956.30

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Solution

The fourth proportional to 10,432.50, 14,397.28 and 5,956.30 is: 8,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.50 : 14,397.28 = 5,956.30 : x
  2. Step 2: Convert to fraction form
    10,432.50/14,397.28 = 5,956.30/x
  3. Step 3: Cross multiply
    10,432.50x = 14,397.28 × 5,956.30
  4. Step 4: Simplify right side
    10,432.50x = 85,754,518.86
  5. Step 5: Solve for x
    x = 85,754,518.86/10,432.50
  6. Step 6: Final answer
    x = 8,219.94

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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.