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Finding the Fourth Proportional to 10,524.28, 15,791.94 and 4,288.90

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Solution

The fourth proportional to 10,524.28, 15,791.94 and 4,288.90 is: 6,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.28 : 15,791.94 = 4,288.90 : x
  2. Step 2: Convert to fraction form
    10,524.28/15,791.94 = 4,288.90/x
  3. Step 3: Cross multiply
    10,524.28x = 15,791.94 × 4,288.90
  4. Step 4: Simplify right side
    10,524.28x = 67,730,051.47
  5. Step 5: Solve for x
    x = 67,730,051.47/10,524.28
  6. Step 6: Final answer
    x = 6,435.60

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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.