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Finding the Fourth Proportional to 10,472.49, 15,712.38 and 4,633.20

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Solution

The fourth proportional to 10,472.49, 15,712.38 and 4,633.20 is: 6,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.49 : 15,712.38 = 4,633.20 : x
  2. Step 2: Convert to fraction form
    10,472.49/15,712.38 = 4,633.20/x
  3. Step 3: Cross multiply
    10,472.49x = 15,712.38 × 4,633.20
  4. Step 4: Simplify right side
    10,472.49x = 72,798,599.02
  5. Step 5: Solve for x
    x = 72,798,599.02/10,472.49
  6. Step 6: Final answer
    x = 6,951.41

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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.