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Finding the Fourth Proportional to 11,097.25, 15,314.13 and 6,061.47

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Solution

The fourth proportional to 11,097.25, 15,314.13 and 6,061.47 is: 8,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.25 : 15,314.13 = 6,061.47 : x
  2. Step 2: Convert to fraction form
    11,097.25/15,314.13 = 6,061.47/x
  3. Step 3: Cross multiply
    11,097.25x = 15,314.13 × 6,061.47
  4. Step 4: Simplify right side
    11,097.25x = 92,826,139.57
  5. Step 5: Solve for x
    x = 92,826,139.57/11,097.25
  6. Step 6: Final answer
    x = 8,364.79

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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.