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Finding the Fourth Proportional to 8,474.70, 12,716.91 and 4,583.46

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Solution

The fourth proportional to 8,474.70, 12,716.91 and 4,583.46 is: 6,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.70 : 12,716.91 = 4,583.46 : x
  2. Step 2: Convert to fraction form
    8,474.70/12,716.91 = 4,583.46/x
  3. Step 3: Cross multiply
    8,474.70x = 12,716.91 × 4,583.46
  4. Step 4: Simplify right side
    8,474.70x = 58,287,448.31
  5. Step 5: Solve for x
    x = 58,287,448.31/8,474.70
  6. Step 6: Final answer
    x = 6,877.82

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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.