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Finding the Fourth Proportional to 11,122.79, 15,346.80 and 7,149.33

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Solution

The fourth proportional to 11,122.79, 15,346.80 and 7,149.33 is: 9,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.79 : 15,346.80 = 7,149.33 : x
  2. Step 2: Convert to fraction form
    11,122.79/15,346.80 = 7,149.33/x
  3. Step 3: Cross multiply
    11,122.79x = 15,346.80 × 7,149.33
  4. Step 4: Simplify right side
    11,122.79x = 109,719,337.64
  5. Step 5: Solve for x
    x = 109,719,337.64/11,122.79
  6. Step 6: Final answer
    x = 9,864.38

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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.