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Finding the Fourth Proportional to 8,589.16, 11,854.88 and 5,233.08

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Solution

The fourth proportional to 8,589.16, 11,854.88 and 5,233.08 is: 7,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.16 : 11,854.88 = 5,233.08 : x
  2. Step 2: Convert to fraction form
    8,589.16/11,854.88 = 5,233.08/x
  3. Step 3: Cross multiply
    8,589.16x = 11,854.88 × 5,233.08
  4. Step 4: Simplify right side
    8,589.16x = 62,037,535.43
  5. Step 5: Solve for x
    x = 62,037,535.43/8,589.16
  6. Step 6: Final answer
    x = 7,222.77

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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.