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Finding the Fourth Proportional to 10,114.66, 15,171.52 and 3,542.32

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Solution

The fourth proportional to 10,114.66, 15,171.52 and 3,542.32 is: 5,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.66 : 15,171.52 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    10,114.66/15,171.52 = 3,542.32/x
  3. Step 3: Cross multiply
    10,114.66x = 15,171.52 × 3,542.32
  4. Step 4: Simplify right side
    10,114.66x = 53,742,378.73
  5. Step 5: Solve for x
    x = 53,742,378.73/10,114.66
  6. Step 6: Final answer
    x = 5,313.32

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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.