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Finding the Fourth Proportional to 10,458.40, 15,694.97 and 4,911.92

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Solution

The fourth proportional to 10,458.40, 15,694.97 and 4,911.92 is: 7,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.40 : 15,694.97 = 4,911.92 : x
  2. Step 2: Convert to fraction form
    10,458.40/15,694.97 = 4,911.92/x
  3. Step 3: Cross multiply
    10,458.40x = 15,694.97 × 4,911.92
  4. Step 4: Simplify right side
    10,458.40x = 77,092,481.15
  5. Step 5: Solve for x
    x = 77,092,481.15/10,458.40
  6. Step 6: Final answer
    x = 7,371.35

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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.