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Finding the Fourth Proportional to 7,701.71, 11,542.97 and 3,537.29

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Solution

The fourth proportional to 7,701.71, 11,542.97 and 3,537.29 is: 5,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.71 : 11,542.97 = 3,537.29 : x
  2. Step 2: Convert to fraction form
    7,701.71/11,542.97 = 3,537.29/x
  3. Step 3: Cross multiply
    7,701.71x = 11,542.97 × 3,537.29
  4. Step 4: Simplify right side
    7,701.71x = 40,830,756.95
  5. Step 5: Solve for x
    x = 40,830,756.95/7,701.71
  6. Step 6: Final answer
    x = 5,301.52

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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.