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Finding the Fourth Proportional to 10,470.60, 14,446.50 and 6,491.88

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Solution

The fourth proportional to 10,470.60, 14,446.50 and 6,491.88 is: 8,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.60 : 14,446.50 = 6,491.88 : x
  2. Step 2: Convert to fraction form
    10,470.60/14,446.50 = 6,491.88/x
  3. Step 3: Cross multiply
    10,470.60x = 14,446.50 × 6,491.88
  4. Step 4: Simplify right side
    10,470.60x = 93,784,944.42
  5. Step 5: Solve for x
    x = 93,784,944.42/10,470.60
  6. Step 6: Final answer
    x = 8,956.98

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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.