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Finding the Fourth Proportional to 10,076.88, 15,115.68 and 3,156.24

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Solution

The fourth proportional to 10,076.88, 15,115.68 and 3,156.24 is: 4,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.88 : 15,115.68 = 3,156.24 : x
  2. Step 2: Convert to fraction form
    10,076.88/15,115.68 = 3,156.24/x
  3. Step 3: Cross multiply
    10,076.88x = 15,115.68 × 3,156.24
  4. Step 4: Simplify right side
    10,076.88x = 47,708,713.84
  5. Step 5: Solve for x
    x = 47,708,713.84/10,076.88
  6. Step 6: Final answer
    x = 4,734.47

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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.