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Finding the Fourth Proportional to 8,135.74, 12,205.08 and 2,870.91

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Solution

The fourth proportional to 8,135.74, 12,205.08 and 2,870.91 is: 4,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.74 : 12,205.08 = 2,870.91 : x
  2. Step 2: Convert to fraction form
    8,135.74/12,205.08 = 2,870.91/x
  3. Step 3: Cross multiply
    8,135.74x = 12,205.08 × 2,870.91
  4. Step 4: Simplify right side
    8,135.74x = 35,039,686.22
  5. Step 5: Solve for x
    x = 35,039,686.22/8,135.74
  6. Step 6: Final answer
    x = 4,306.88

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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.