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Finding the Fourth Proportional to 10,534.66, 15,801.89 and 4,293.20

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Solution

The fourth proportional to 10,534.66, 15,801.89 and 4,293.20 is: 6,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.66 : 15,801.89 = 4,293.20 : x
  2. Step 2: Convert to fraction form
    10,534.66/15,801.89 = 4,293.20/x
  3. Step 3: Cross multiply
    10,534.66x = 15,801.89 × 4,293.20
  4. Step 4: Simplify right side
    10,534.66x = 67,840,692.19
  5. Step 5: Solve for x
    x = 67,840,692.19/10,534.66
  6. Step 6: Final answer
    x = 6,439.76

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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.