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Finding the Fourth Proportional to 7,402.39, 10,214.71 and 4,258.78

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Solution

The fourth proportional to 7,402.39, 10,214.71 and 4,258.78 is: 5,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.39 : 10,214.71 = 4,258.78 : x
  2. Step 2: Convert to fraction form
    7,402.39/10,214.71 = 4,258.78/x
  3. Step 3: Cross multiply
    7,402.39x = 10,214.71 × 4,258.78
  4. Step 4: Simplify right side
    7,402.39x = 43,502,202.65
  5. Step 5: Solve for x
    x = 43,502,202.65/7,402.39
  6. Step 6: Final answer
    x = 5,876.78

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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.