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Finding the Fourth Proportional to 8,252.34, 12,382.56 and 3,870.12

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Solution

The fourth proportional to 8,252.34, 12,382.56 and 3,870.12 is: 5,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.34 : 12,382.56 = 3,870.12 : x
  2. Step 2: Convert to fraction form
    8,252.34/12,382.56 = 3,870.12/x
  3. Step 3: Cross multiply
    8,252.34x = 12,382.56 × 3,870.12
  4. Step 4: Simplify right side
    8,252.34x = 47,921,993.11
  5. Step 5: Solve for x
    x = 47,921,993.11/8,252.34
  6. Step 6: Final answer
    x = 5,807.08

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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.