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Finding the Fourth Proportional to 8,187.45, 12,287.52 and 5,413.20

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Solution

The fourth proportional to 8,187.45, 12,287.52 and 5,413.20 is: 8,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.45 : 12,287.52 = 5,413.20 : x
  2. Step 2: Convert to fraction form
    8,187.45/12,287.52 = 5,413.20/x
  3. Step 3: Cross multiply
    8,187.45x = 12,287.52 × 5,413.20
  4. Step 4: Simplify right side
    8,187.45x = 66,514,803.26
  5. Step 5: Solve for x
    x = 66,514,803.26/8,187.45
  6. Step 6: Final answer
    x = 8,124.00

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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.