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Finding the Fourth Proportional to 8,166.48, 12,232.44 and 6,776.52

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Solution

The fourth proportional to 8,166.48, 12,232.44 and 6,776.52 is: 10,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.48 : 12,232.44 = 6,776.52 : x
  2. Step 2: Convert to fraction form
    8,166.48/12,232.44 = 6,776.52/x
  3. Step 3: Cross multiply
    8,166.48x = 12,232.44 × 6,776.52
  4. Step 4: Simplify right side
    8,166.48x = 82,893,374.31
  5. Step 5: Solve for x
    x = 82,893,374.31/8,166.48
  6. Step 6: Final answer
    x = 10,150.44

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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.