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Finding the Fourth Proportional to 10,049.39, 13,865.34 and 7,918.30

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Solution

The fourth proportional to 10,049.39, 13,865.34 and 7,918.30 is: 10,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.39 : 13,865.34 = 7,918.30 : x
  2. Step 2: Convert to fraction form
    10,049.39/13,865.34 = 7,918.30/x
  3. Step 3: Cross multiply
    10,049.39x = 13,865.34 × 7,918.30
  4. Step 4: Simplify right side
    10,049.39x = 109,789,921.72
  5. Step 5: Solve for x
    x = 109,789,921.72/10,049.39
  6. Step 6: Final answer
    x = 10,925.03

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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.