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Finding the Fourth Proportional to 8,139.57, 11,232.61 and 4,413.57

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Solution

The fourth proportional to 8,139.57, 11,232.61 and 4,413.57 is: 6,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.57 : 11,232.61 = 4,413.57 : x
  2. Step 2: Convert to fraction form
    8,139.57/11,232.61 = 4,413.57/x
  3. Step 3: Cross multiply
    8,139.57x = 11,232.61 × 4,413.57
  4. Step 4: Simplify right side
    8,139.57x = 49,575,899.48
  5. Step 5: Solve for x
    x = 49,575,899.48/8,139.57
  6. Step 6: Final answer
    x = 6,090.73

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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.