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Finding the Fourth Proportional to 10,509.90, 15,765.12 and 3,934.83

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Solution

The fourth proportional to 10,509.90, 15,765.12 and 3,934.83 is: 5,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.90 : 15,765.12 = 3,934.83 : x
  2. Step 2: Convert to fraction form
    10,509.90/15,765.12 = 3,934.83/x
  3. Step 3: Cross multiply
    10,509.90x = 15,765.12 × 3,934.83
  4. Step 4: Simplify right side
    10,509.90x = 62,033,067.13
  5. Step 5: Solve for x
    x = 62,033,067.13/10,509.90
  6. Step 6: Final answer
    x = 5,902.35

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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.