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Finding the Fourth Proportional to 8,254.98, 11,397.31 and 5,870.24

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Solution

The fourth proportional to 8,254.98, 11,397.31 and 5,870.24 is: 8,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.98 : 11,397.31 = 5,870.24 : x
  2. Step 2: Convert to fraction form
    8,254.98/11,397.31 = 5,870.24/x
  3. Step 3: Cross multiply
    8,254.98x = 11,397.31 × 5,870.24
  4. Step 4: Simplify right side
    8,254.98x = 66,904,945.05
  5. Step 5: Solve for x
    x = 66,904,945.05/8,254.98
  6. Step 6: Final answer
    x = 8,104.80

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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.