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Finding the Fourth Proportional to 8,589.71, 11,853.12 and 4,812.58

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Solution

The fourth proportional to 8,589.71, 11,853.12 and 4,812.58 is: 6,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.71 : 11,853.12 = 4,812.58 : x
  2. Step 2: Convert to fraction form
    8,589.71/11,853.12 = 4,812.58/x
  3. Step 3: Cross multiply
    8,589.71x = 11,853.12 × 4,812.58
  4. Step 4: Simplify right side
    8,589.71x = 57,044,088.25
  5. Step 5: Solve for x
    x = 57,044,088.25/8,589.71
  6. Step 6: Final answer
    x = 6,640.98

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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.