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Finding the Fourth Proportional to 8,374.77, 12,550.26 and 6,166.17

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Solution

The fourth proportional to 8,374.77, 12,550.26 and 6,166.17 is: 9,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.77 : 12,550.26 = 6,166.17 : x
  2. Step 2: Convert to fraction form
    8,374.77/12,550.26 = 6,166.17/x
  3. Step 3: Cross multiply
    8,374.77x = 12,550.26 × 6,166.17
  4. Step 4: Simplify right side
    8,374.77x = 77,387,036.70
  5. Step 5: Solve for x
    x = 77,387,036.70/8,374.77
  6. Step 6: Final answer
    x = 9,240.50

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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.