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Finding the Fourth Proportional to 10,138.72, 15,209.64 and 4,296.88

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Solution

The fourth proportional to 10,138.72, 15,209.64 and 4,296.88 is: 6,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.72 : 15,209.64 = 4,296.88 : x
  2. Step 2: Convert to fraction form
    10,138.72/15,209.64 = 4,296.88/x
  3. Step 3: Cross multiply
    10,138.72x = 15,209.64 × 4,296.88
  4. Step 4: Simplify right side
    10,138.72x = 65,353,997.92
  5. Step 5: Solve for x
    x = 65,353,997.92/10,138.72
  6. Step 6: Final answer
    x = 6,445.98

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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.