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Finding the Fourth Proportional to 11,557.68, 15,942.24 and 7,579.04

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Solution

The fourth proportional to 11,557.68, 15,942.24 and 7,579.04 is: 10,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.68 : 15,942.24 = 7,579.04 : x
  2. Step 2: Convert to fraction form
    11,557.68/15,942.24 = 7,579.04/x
  3. Step 3: Cross multiply
    11,557.68x = 15,942.24 × 7,579.04
  4. Step 4: Simplify right side
    11,557.68x = 120,826,874.65
  5. Step 5: Solve for x
    x = 120,826,874.65/11,557.68
  6. Step 6: Final answer
    x = 10,454.25

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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.