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Finding the Fourth Proportional to 10,418, 15,633.54 and 3,847.28

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Solution

The fourth proportional to 10,418, 15,633.54 and 3,847.28 is: 5,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418 : 15,633.54 = 3,847.28 : x
  2. Step 2: Convert to fraction form
    10,418/15,633.54 = 3,847.28/x
  3. Step 3: Cross multiply
    10,418x = 15,633.54 × 3,847.28
  4. Step 4: Simplify right side
    10,418x = 60,146,605.77
  5. Step 5: Solve for x
    x = 60,146,605.77/10,418
  6. Step 6: Final answer
    x = 5,773.34

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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.