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Finding the Fourth Proportional to 8,890, 12,268.20 and 5,164.24

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Solution

The fourth proportional to 8,890, 12,268.20 and 5,164.24 is: 7,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,890 : 12,268.20 = 5,164.24 : x
  2. Step 2: Convert to fraction form
    8,890/12,268.20 = 5,164.24/x
  3. Step 3: Cross multiply
    8,890x = 12,268.20 × 5,164.24
  4. Step 4: Simplify right side
    8,890x = 63,355,929.17
  5. Step 5: Solve for x
    x = 63,355,929.17/8,890
  6. Step 6: Final answer
    x = 7,126.65

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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.