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Finding the Fourth Proportional to 10,894.68, 15,033.42 and 6,114.96

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Solution

The fourth proportional to 10,894.68, 15,033.42 and 6,114.96 is: 8,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.68 : 15,033.42 = 6,114.96 : x
  2. Step 2: Convert to fraction form
    10,894.68/15,033.42 = 6,114.96/x
  3. Step 3: Cross multiply
    10,894.68x = 15,033.42 × 6,114.96
  4. Step 4: Simplify right side
    10,894.68x = 91,928,761.96
  5. Step 5: Solve for x
    x = 91,928,761.96/10,894.68
  6. Step 6: Final answer
    x = 8,437.95

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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.