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Finding the Fourth Proportional to 10,468.14, 15,701.81 and 3,542.64

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Solution

The fourth proportional to 10,468.14, 15,701.81 and 3,542.64 is: 5,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.14 : 15,701.81 = 3,542.64 : x
  2. Step 2: Convert to fraction form
    10,468.14/15,701.81 = 3,542.64/x
  3. Step 3: Cross multiply
    10,468.14x = 15,701.81 × 3,542.64
  4. Step 4: Simplify right side
    10,468.14x = 55,625,842.47
  5. Step 5: Solve for x
    x = 55,625,842.47/10,468.14
  6. Step 6: Final answer
    x = 5,313.82

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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.