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Finding the Fourth Proportional to 10,230.57, 15,342.21 and 3,565.35

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Solution

The fourth proportional to 10,230.57, 15,342.21 and 3,565.35 is: 5,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.57 : 15,342.21 = 3,565.35 : x
  2. Step 2: Convert to fraction form
    10,230.57/15,342.21 = 3,565.35/x
  3. Step 3: Cross multiply
    10,230.57x = 15,342.21 × 3,565.35
  4. Step 4: Simplify right side
    10,230.57x = 54,700,348.42
  5. Step 5: Solve for x
    x = 54,700,348.42/10,230.57
  6. Step 6: Final answer
    x = 5,346.75

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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.