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Finding the Fourth Proportional to 7,458.86, 11,188.32 and 2,264.78

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Solution

The fourth proportional to 7,458.86, 11,188.32 and 2,264.78 is: 3,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.86 : 11,188.32 = 2,264.78 : x
  2. Step 2: Convert to fraction form
    7,458.86/11,188.32 = 2,264.78/x
  3. Step 3: Cross multiply
    7,458.86x = 11,188.32 × 2,264.78
  4. Step 4: Simplify right side
    7,458.86x = 25,339,083.37
  5. Step 5: Solve for x
    x = 25,339,083.37/7,458.86
  6. Step 6: Final answer
    x = 3,397.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.