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Finding the Fourth Proportional to 8,187.30, 12,280.98 and 5,431.47

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Solution

The fourth proportional to 8,187.30, 12,280.98 and 5,431.47 is: 8,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.30 : 12,280.98 = 5,431.47 : x
  2. Step 2: Convert to fraction form
    8,187.30/12,280.98 = 5,431.47/x
  3. Step 3: Cross multiply
    8,187.30x = 12,280.98 × 5,431.47
  4. Step 4: Simplify right side
    8,187.30x = 66,703,774.44
  5. Step 5: Solve for x
    x = 66,703,774.44/8,187.30
  6. Step 6: Final answer
    x = 8,147.22

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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.