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Finding the Fourth Proportional to 10,071.72, 15,107.12 and 3,498.42

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Solution

The fourth proportional to 10,071.72, 15,107.12 and 3,498.42 is: 5,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.72 : 15,107.12 = 3,498.42 : x
  2. Step 2: Convert to fraction form
    10,071.72/15,107.12 = 3,498.42/x
  3. Step 3: Cross multiply
    10,071.72x = 15,107.12 × 3,498.42
  4. Step 4: Simplify right side
    10,071.72x = 52,851,037.73
  5. Step 5: Solve for x
    x = 52,851,037.73/10,071.72
  6. Step 6: Final answer
    x = 5,247.47

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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.