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Finding the Fourth Proportional to 10,044.90, 15,071 and 3,471.76

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Solution

The fourth proportional to 10,044.90, 15,071 and 3,471.76 is: 5,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.90 : 15,071 = 3,471.76 : x
  2. Step 2: Convert to fraction form
    10,044.90/15,071 = 3,471.76/x
  3. Step 3: Cross multiply
    10,044.90x = 15,071 × 3,471.76
  4. Step 4: Simplify right side
    10,044.90x = 52,322,894.96
  5. Step 5: Solve for x
    x = 52,322,894.96/10,044.90
  6. Step 6: Final answer
    x = 5,208.90

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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.