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Finding the Fourth Proportional to 10,111.57, 15,169.51 and 3,537.97

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Solution

The fourth proportional to 10,111.57, 15,169.51 and 3,537.97 is: 5,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.57 : 15,169.51 = 3,537.97 : x
  2. Step 2: Convert to fraction form
    10,111.57/15,169.51 = 3,537.97/x
  3. Step 3: Cross multiply
    10,111.57x = 15,169.51 × 3,537.97
  4. Step 4: Simplify right side
    10,111.57x = 53,669,186.60
  5. Step 5: Solve for x
    x = 53,669,186.60/10,111.57
  6. Step 6: Final answer
    x = 5,307.70

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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.