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Finding the Fourth Proportional to 10,440.52, 15,660.82 and 3,420.48

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Solution

The fourth proportional to 10,440.52, 15,660.82 and 3,420.48 is: 5,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.52 : 15,660.82 = 3,420.48 : x
  2. Step 2: Convert to fraction form
    10,440.52/15,660.82 = 3,420.48/x
  3. Step 3: Cross multiply
    10,440.52x = 15,660.82 × 3,420.48
  4. Step 4: Simplify right side
    10,440.52x = 53,567,486.89
  5. Step 5: Solve for x
    x = 53,567,486.89/10,440.52
  6. Step 6: Final answer
    x = 5,130.73

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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.