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Finding the Fourth Proportional to 7,668.55, 10,585.31 and 5,149.25

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Solution

The fourth proportional to 7,668.55, 10,585.31 and 5,149.25 is: 7,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.55 : 10,585.31 = 5,149.25 : x
  2. Step 2: Convert to fraction form
    7,668.55/10,585.31 = 5,149.25/x
  3. Step 3: Cross multiply
    7,668.55x = 10,585.31 × 5,149.25
  4. Step 4: Simplify right side
    7,668.55x = 54,506,328.84
  5. Step 5: Solve for x
    x = 54,506,328.84/7,668.55
  6. Step 6: Final answer
    x = 7,107.78

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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.