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Finding the Fourth Proportional to 8,278.14, 12,417.81 and 3,084

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Solution

The fourth proportional to 8,278.14, 12,417.81 and 3,084 is: 4,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.14 : 12,417.81 = 3,084 : x
  2. Step 2: Convert to fraction form
    8,278.14/12,417.81 = 3,084/x
  3. Step 3: Cross multiply
    8,278.14x = 12,417.81 × 3,084
  4. Step 4: Simplify right side
    8,278.14x = 38,296,526.04
  5. Step 5: Solve for x
    x = 38,296,526.04/8,278.14
  6. Step 6: Final answer
    x = 4,626.22

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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.