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Finding the Fourth Proportional to 8,429.28, 11,637.84 and 5,775.84

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Solution

The fourth proportional to 8,429.28, 11,637.84 and 5,775.84 is: 7,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.28 : 11,637.84 = 5,775.84 : x
  2. Step 2: Convert to fraction form
    8,429.28/11,637.84 = 5,775.84/x
  3. Step 3: Cross multiply
    8,429.28x = 11,637.84 × 5,775.84
  4. Step 4: Simplify right side
    8,429.28x = 67,218,301.79
  5. Step 5: Solve for x
    x = 67,218,301.79/8,429.28
  6. Step 6: Final answer
    x = 7,974.38

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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.