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Finding the Fourth Proportional to 10,076.70, 15,124.44 and 5,149.86

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Solution

The fourth proportional to 10,076.70, 15,124.44 and 5,149.86 is: 7,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.70 : 15,124.44 = 5,149.86 : x
  2. Step 2: Convert to fraction form
    10,076.70/15,124.44 = 5,149.86/x
  3. Step 3: Cross multiply
    10,076.70x = 15,124.44 × 5,149.86
  4. Step 4: Simplify right side
    10,076.70x = 77,888,748.58
  5. Step 5: Solve for x
    x = 77,888,748.58/10,076.70
  6. Step 6: Final answer
    x = 7,729.59

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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.