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Finding the Fourth Proportional to 7,078.05, 9,763.20 and 5,585.49

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Solution

The fourth proportional to 7,078.05, 9,763.20 and 5,585.49 is: 7,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.05 : 9,763.20 = 5,585.49 : x
  2. Step 2: Convert to fraction form
    7,078.05/9,763.20 = 5,585.49/x
  3. Step 3: Cross multiply
    7,078.05x = 9,763.20 × 5,585.49
  4. Step 4: Simplify right side
    7,078.05x = 54,532,255.97
  5. Step 5: Solve for x
    x = 54,532,255.97/7,078.05
  6. Step 6: Final answer
    x = 7,704.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.