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Finding the Fourth Proportional to 8,256.96, 12,356.62 and 6,758.87

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Solution

The fourth proportional to 8,256.96, 12,356.62 and 6,758.87 is: 10,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.96 : 12,356.62 = 6,758.87 : x
  2. Step 2: Convert to fraction form
    8,256.96/12,356.62 = 6,758.87/x
  3. Step 3: Cross multiply
    8,256.96x = 12,356.62 × 6,758.87
  4. Step 4: Simplify right side
    8,256.96x = 83,516,709.54
  5. Step 5: Solve for x
    x = 83,516,709.54/8,256.96
  6. Step 6: Final answer
    x = 10,114.70

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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.