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Finding the Fourth Proportional to 8,589.78, 11,825.56 and 7,470.12

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Solution

The fourth proportional to 8,589.78, 11,825.56 and 7,470.12 is: 10,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.78 : 11,825.56 = 7,470.12 : x
  2. Step 2: Convert to fraction form
    8,589.78/11,825.56 = 7,470.12/x
  3. Step 3: Cross multiply
    8,589.78x = 11,825.56 × 7,470.12
  4. Step 4: Simplify right side
    8,589.78x = 88,338,381.83
  5. Step 5: Solve for x
    x = 88,338,381.83/8,589.78
  6. Step 6: Final answer
    x = 10,284.12

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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.