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Finding the Fourth Proportional to 8,589.40, 11,854.07 and 4,813.41

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Solution

The fourth proportional to 8,589.40, 11,854.07 and 4,813.41 is: 6,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.40 : 11,854.07 = 4,813.41 : x
  2. Step 2: Convert to fraction form
    8,589.40/11,854.07 = 4,813.41/x
  3. Step 3: Cross multiply
    8,589.40x = 11,854.07 × 4,813.41
  4. Step 4: Simplify right side
    8,589.40x = 57,058,499.08
  5. Step 5: Solve for x
    x = 57,058,499.08/8,589.40
  6. Step 6: Final answer
    x = 6,642.90

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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.