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Finding the Fourth Proportional to 8,646.39, 11,932.25 and 4,869.69

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Solution

The fourth proportional to 8,646.39, 11,932.25 and 4,869.69 is: 6,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.39 : 11,932.25 = 4,869.69 : x
  2. Step 2: Convert to fraction form
    8,646.39/11,932.25 = 4,869.69/x
  3. Step 3: Cross multiply
    8,646.39x = 11,932.25 × 4,869.69
  4. Step 4: Simplify right side
    8,646.39x = 58,106,358.50
  5. Step 5: Solve for x
    x = 58,106,358.50/8,646.39
  6. Step 6: Final answer
    x = 6,720.30

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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.