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Finding the Fourth Proportional to 10,463.32, 14,439.50 and 5,747.50

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Solution

The fourth proportional to 10,463.32, 14,439.50 and 5,747.50 is: 7,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.32 : 14,439.50 = 5,747.50 : x
  2. Step 2: Convert to fraction form
    10,463.32/14,439.50 = 5,747.50/x
  3. Step 3: Cross multiply
    10,463.32x = 14,439.50 × 5,747.50
  4. Step 4: Simplify right side
    10,463.32x = 82,991,026.25
  5. Step 5: Solve for x
    x = 82,991,026.25/10,463.32
  6. Step 6: Final answer
    x = 7,931.62

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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.