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Finding the Fourth Proportional to 8,818.24, 12,166.96 and 5,678.56

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Solution

The fourth proportional to 8,818.24, 12,166.96 and 5,678.56 is: 7,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,818.24 : 12,166.96 = 5,678.56 : x
  2. Step 2: Convert to fraction form
    8,818.24/12,166.96 = 5,678.56/x
  3. Step 3: Cross multiply
    8,818.24x = 12,166.96 × 5,678.56
  4. Step 4: Simplify right side
    8,818.24x = 69,090,812.38
  5. Step 5: Solve for x
    x = 69,090,812.38/8,818.24
  6. Step 6: Final answer
    x = 7,834.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.