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Finding the Fourth Proportional to 10,407.20, 15,610.80 and 7,503.92

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Solution

The fourth proportional to 10,407.20, 15,610.80 and 7,503.92 is: 11,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.20 : 15,610.80 = 7,503.92 : x
  2. Step 2: Convert to fraction form
    10,407.20/15,610.80 = 7,503.92/x
  3. Step 3: Cross multiply
    10,407.20x = 15,610.80 × 7,503.92
  4. Step 4: Simplify right side
    10,407.20x = 117,142,194.34
  5. Step 5: Solve for x
    x = 117,142,194.34/10,407.20
  6. Step 6: Final answer
    x = 11,255.88

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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.