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Finding the Fourth Proportional to 8,541.36, 12,801.08 and 6,589.46

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Solution

The fourth proportional to 8,541.36, 12,801.08 and 6,589.46 is: 9,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.36 : 12,801.08 = 6,589.46 : x
  2. Step 2: Convert to fraction form
    8,541.36/12,801.08 = 6,589.46/x
  3. Step 3: Cross multiply
    8,541.36x = 12,801.08 × 6,589.46
  4. Step 4: Simplify right side
    8,541.36x = 84,352,204.62
  5. Step 5: Solve for x
    x = 84,352,204.62/8,541.36
  6. Step 6: Final answer
    x = 9,875.73

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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.