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Finding the Fourth Proportional to 7,795.05, 10,757.13 and 4,258.26

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Solution

The fourth proportional to 7,795.05, 10,757.13 and 4,258.26 is: 5,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.05 : 10,757.13 = 4,258.26 : x
  2. Step 2: Convert to fraction form
    7,795.05/10,757.13 = 4,258.26/x
  3. Step 3: Cross multiply
    7,795.05x = 10,757.13 × 4,258.26
  4. Step 4: Simplify right side
    7,795.05x = 45,806,656.39
  5. Step 5: Solve for x
    x = 45,806,656.39/7,795.05
  6. Step 6: Final answer
    x = 5,876.38

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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.