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Finding the Fourth Proportional to 8,890.38, 12,268.70 and 5,114.28

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Solution

The fourth proportional to 8,890.38, 12,268.70 and 5,114.28 is: 7,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,890.38 : 12,268.70 = 5,114.28 : x
  2. Step 2: Convert to fraction form
    8,890.38/12,268.70 = 5,114.28/x
  3. Step 3: Cross multiply
    8,890.38x = 12,268.70 × 5,114.28
  4. Step 4: Simplify right side
    8,890.38x = 62,745,518.48
  5. Step 5: Solve for x
    x = 62,745,518.48/8,890.38
  6. Step 6: Final answer
    x = 7,057.68

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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.