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Finding the Fourth Proportional to 8,570.07, 12,761.45 and 8,254.78

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Solution

The fourth proportional to 8,570.07, 12,761.45 and 8,254.78 is: 12,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.07 : 12,761.45 = 8,254.78 : x
  2. Step 2: Convert to fraction form
    8,570.07/12,761.45 = 8,254.78/x
  3. Step 3: Cross multiply
    8,570.07x = 12,761.45 × 8,254.78
  4. Step 4: Simplify right side
    8,570.07x = 105,342,962.23
  5. Step 5: Solve for x
    x = 105,342,962.23/8,570.07
  6. Step 6: Final answer
    x = 12,291.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.