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Finding the Fourth Proportional to 8,154.68, 12,230.73 and 6,776.87

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Solution

The fourth proportional to 8,154.68, 12,230.73 and 6,776.87 is: 10,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.68 : 12,230.73 = 6,776.87 : x
  2. Step 2: Convert to fraction form
    8,154.68/12,230.73 = 6,776.87/x
  3. Step 3: Cross multiply
    8,154.68x = 12,230.73 × 6,776.87
  4. Step 4: Simplify right side
    8,154.68x = 82,886,006.06
  5. Step 5: Solve for x
    x = 82,886,006.06/8,154.68
  6. Step 6: Final answer
    x = 10,164.23

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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.