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Finding the Fourth Proportional to 10,127.58, 15,076.15 and 9,650.46

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Solution

The fourth proportional to 10,127.58, 15,076.15 and 9,650.46 is: 14,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.58 : 15,076.15 = 9,650.46 : x
  2. Step 2: Convert to fraction form
    10,127.58/15,076.15 = 9,650.46/x
  3. Step 3: Cross multiply
    10,127.58x = 15,076.15 × 9,650.46
  4. Step 4: Simplify right side
    10,127.58x = 145,491,782.53
  5. Step 5: Solve for x
    x = 145,491,782.53/10,127.58
  6. Step 6: Final answer
    x = 14,365.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.