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Finding the Fourth Proportional to 11,494.32, 15,872.25 and 7,252.93

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Solution

The fourth proportional to 11,494.32, 15,872.25 and 7,252.93 is: 10,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.32 : 15,872.25 = 7,252.93 : x
  2. Step 2: Convert to fraction form
    11,494.32/15,872.25 = 7,252.93/x
  3. Step 3: Cross multiply
    11,494.32x = 15,872.25 × 7,252.93
  4. Step 4: Simplify right side
    11,494.32x = 115,120,318.19
  5. Step 5: Solve for x
    x = 115,120,318.19/11,494.32
  6. Step 6: Final answer
    x = 10,015.41

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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.