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Finding the Fourth Proportional to 7,258.57, 10,887.87 and 1,993.66

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Solution

The fourth proportional to 7,258.57, 10,887.87 and 1,993.66 is: 2,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.57 : 10,887.87 = 1,993.66 : x
  2. Step 2: Convert to fraction form
    7,258.57/10,887.87 = 1,993.66/x
  3. Step 3: Cross multiply
    7,258.57x = 10,887.87 × 1,993.66
  4. Step 4: Simplify right side
    7,258.57x = 21,706,691.16
  5. Step 5: Solve for x
    x = 21,706,691.16/7,258.57
  6. Step 6: Final answer
    x = 2,990.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.