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Finding the Fourth Proportional to 8,847.38, 12,196.30 and 5,660.33

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Solution

The fourth proportional to 8,847.38, 12,196.30 and 5,660.33 is: 7,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.38 : 12,196.30 = 5,660.33 : x
  2. Step 2: Convert to fraction form
    8,847.38/12,196.30 = 5,660.33/x
  3. Step 3: Cross multiply
    8,847.38x = 12,196.30 × 5,660.33
  4. Step 4: Simplify right side
    8,847.38x = 69,035,070.94
  5. Step 5: Solve for x
    x = 69,035,070.94/8,847.38
  6. Step 6: Final answer
    x = 7,802.89

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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.