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Finding the Fourth Proportional to 10,758.80, 16,138.20 and 7,259.60

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Solution

The fourth proportional to 10,758.80, 16,138.20 and 7,259.60 is: 10,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.80 : 16,138.20 = 7,259.60 : x
  2. Step 2: Convert to fraction form
    10,758.80/16,138.20 = 7,259.60/x
  3. Step 3: Cross multiply
    10,758.80x = 16,138.20 × 7,259.60
  4. Step 4: Simplify right side
    10,758.80x = 117,156,876.72
  5. Step 5: Solve for x
    x = 117,156,876.72/10,758.80
  6. Step 6: Final answer
    x = 10,889.40

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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.