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Finding the Fourth Proportional to 7,078.45, 10,658.82 and 5,242.57

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Solution

The fourth proportional to 7,078.45, 10,658.82 and 5,242.57 is: 7,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.45 : 10,658.82 = 5,242.57 : x
  2. Step 2: Convert to fraction form
    7,078.45/10,658.82 = 5,242.57/x
  3. Step 3: Cross multiply
    7,078.45x = 10,658.82 × 5,242.57
  4. Step 4: Simplify right side
    7,078.45x = 55,879,609.97
  5. Step 5: Solve for x
    x = 55,879,609.97/7,078.45
  6. Step 6: Final answer
    x = 7,894.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.