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Finding the Fourth Proportional to 10,452.88, 15,682.20 and 4,610.80

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Solution

The fourth proportional to 10,452.88, 15,682.20 and 4,610.80 is: 6,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.88 : 15,682.20 = 4,610.80 : x
  2. Step 2: Convert to fraction form
    10,452.88/15,682.20 = 4,610.80/x
  3. Step 3: Cross multiply
    10,452.88x = 15,682.20 × 4,610.80
  4. Step 4: Simplify right side
    10,452.88x = 72,307,487.76
  5. Step 5: Solve for x
    x = 72,307,487.76/10,452.88
  6. Step 6: Final answer
    x = 6,917.47

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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.