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Finding the Fourth Proportional to 8,314.65, 12,463.88 and 3,048.17

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Solution

The fourth proportional to 8,314.65, 12,463.88 and 3,048.17 is: 4,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.65 : 12,463.88 = 3,048.17 : x
  2. Step 2: Convert to fraction form
    8,314.65/12,463.88 = 3,048.17/x
  3. Step 3: Cross multiply
    8,314.65x = 12,463.88 × 3,048.17
  4. Step 4: Simplify right side
    8,314.65x = 37,991,947.54
  5. Step 5: Solve for x
    x = 37,991,947.54/8,314.65
  6. Step 6: Final answer
    x = 4,569.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.