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Finding the Fourth Proportional to 11,097.87, 15,320.69 and 8,574.31

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Solution

The fourth proportional to 11,097.87, 15,320.69 and 8,574.31 is: 11,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.87 : 15,320.69 = 8,574.31 : x
  2. Step 2: Convert to fraction form
    11,097.87/15,320.69 = 8,574.31/x
  3. Step 3: Cross multiply
    11,097.87x = 15,320.69 × 8,574.31
  4. Step 4: Simplify right side
    11,097.87x = 131,364,345.47
  5. Step 5: Solve for x
    x = 131,364,345.47/11,097.87
  6. Step 6: Final answer
    x = 11,836.90

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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.