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Finding the Fourth Proportional to 7,956.25, 11,854.42 and 7,509.13

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Solution

The fourth proportional to 7,956.25, 11,854.42 and 7,509.13 is: 11,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.25 : 11,854.42 = 7,509.13 : x
  2. Step 2: Convert to fraction form
    7,956.25/11,854.42 = 7,509.13/x
  3. Step 3: Cross multiply
    7,956.25x = 11,854.42 × 7,509.13
  4. Step 4: Simplify right side
    7,956.25x = 89,016,380.85
  5. Step 5: Solve for x
    x = 89,016,380.85/7,956.25
  6. Step 6: Final answer
    x = 11,188.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.