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Finding the Fourth Proportional to 6,909.59, 10,365.15 and 2,468.30

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Solution

The fourth proportional to 6,909.59, 10,365.15 and 2,468.30 is: 3,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.59 : 10,365.15 = 2,468.30 : x
  2. Step 2: Convert to fraction form
    6,909.59/10,365.15 = 2,468.30/x
  3. Step 3: Cross multiply
    6,909.59x = 10,365.15 × 2,468.30
  4. Step 4: Simplify right side
    6,909.59x = 25,584,247.92
  5. Step 5: Solve for x
    x = 25,584,247.92/6,909.59
  6. Step 6: Final answer
    x = 3,702.72

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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.