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Finding the Fourth Proportional to 7,523.69, 11,281.68 and 3,139.97

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Solution

The fourth proportional to 7,523.69, 11,281.68 and 3,139.97 is: 4,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.69 : 11,281.68 = 3,139.97 : x
  2. Step 2: Convert to fraction form
    7,523.69/11,281.68 = 3,139.97/x
  3. Step 3: Cross multiply
    7,523.69x = 11,281.68 × 3,139.97
  4. Step 4: Simplify right side
    7,523.69x = 35,424,080.34
  5. Step 5: Solve for x
    x = 35,424,080.34/7,523.69
  6. Step 6: Final answer
    x = 4,708.34

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