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Finding the Fourth Proportional to 10,197.72, 15,294.76 and 3,534.26

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Solution

The fourth proportional to 10,197.72, 15,294.76 and 3,534.26 is: 5,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.72 : 15,294.76 = 3,534.26 : x
  2. Step 2: Convert to fraction form
    10,197.72/15,294.76 = 3,534.26/x
  3. Step 3: Cross multiply
    10,197.72x = 15,294.76 × 3,534.26
  4. Step 4: Simplify right side
    10,197.72x = 54,055,573.17
  5. Step 5: Solve for x
    x = 54,055,573.17/10,197.72
  6. Step 6: Final answer
    x = 5,300.75

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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.