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Finding the Fourth Proportional to 10,914.31, 15,061.74 and 6,134.28

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Solution

The fourth proportional to 10,914.31, 15,061.74 and 6,134.28 is: 8,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.31 : 15,061.74 = 6,134.28 : x
  2. Step 2: Convert to fraction form
    10,914.31/15,061.74 = 6,134.28/x
  3. Step 3: Cross multiply
    10,914.31x = 15,061.74 × 6,134.28
  4. Step 4: Simplify right side
    10,914.31x = 92,392,930.45
  5. Step 5: Solve for x
    x = 92,392,930.45/10,914.31
  6. Step 6: Final answer
    x = 8,465.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.