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Finding the Fourth Proportional to 8,454.88, 11,665.28 and 5,470.80

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Solution

The fourth proportional to 8,454.88, 11,665.28 and 5,470.80 is: 7,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.88 : 11,665.28 = 5,470.80 : x
  2. Step 2: Convert to fraction form
    8,454.88/11,665.28 = 5,470.80/x
  3. Step 3: Cross multiply
    8,454.88x = 11,665.28 × 5,470.80
  4. Step 4: Simplify right side
    8,454.88x = 63,818,413.82
  5. Step 5: Solve for x
    x = 63,818,413.82/8,454.88
  6. Step 6: Final answer
    x = 7,548.12

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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.