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Finding the Fourth Proportional to 10,491.44, 15,740.80 and 4,652.15

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Solution

The fourth proportional to 10,491.44, 15,740.80 and 4,652.15 is: 6,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.44 : 15,740.80 = 4,652.15 : x
  2. Step 2: Convert to fraction form
    10,491.44/15,740.80 = 4,652.15/x
  3. Step 3: Cross multiply
    10,491.44x = 15,740.80 × 4,652.15
  4. Step 4: Simplify right side
    10,491.44x = 73,228,472.39
  5. Step 5: Solve for x
    x = 73,228,472.39/10,491.44
  6. Step 6: Final answer
    x = 6,979.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.