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Finding the Fourth Proportional to 8,134.82, 12,203.49 and 2,870.52

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Solution

The fourth proportional to 8,134.82, 12,203.49 and 2,870.52 is: 4,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.82 : 12,203.49 = 2,870.52 : x
  2. Step 2: Convert to fraction form
    8,134.82/12,203.49 = 2,870.52/x
  3. Step 3: Cross multiply
    8,134.82x = 12,203.49 × 2,870.52
  4. Step 4: Simplify right side
    8,134.82x = 35,030,362.11
  5. Step 5: Solve for x
    x = 35,030,362.11/8,134.82
  6. Step 6: Final answer
    x = 4,306.23

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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.