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Finding the Fourth Proportional to 10,474.76, 15,715.78 and 4,232.70

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Solution

The fourth proportional to 10,474.76, 15,715.78 and 4,232.70 is: 6,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.76 : 15,715.78 = 4,232.70 : x
  2. Step 2: Convert to fraction form
    10,474.76/15,715.78 = 4,232.70/x
  3. Step 3: Cross multiply
    10,474.76x = 15,715.78 × 4,232.70
  4. Step 4: Simplify right side
    10,474.76x = 66,520,182.01
  5. Step 5: Solve for x
    x = 66,520,182.01/10,474.76
  6. Step 6: Final answer
    x = 6,350.52

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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.