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Finding the Fourth Proportional to 10,197.57, 15,296.36 and 6,496.07

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Solution

The fourth proportional to 10,197.57, 15,296.36 and 6,496.07 is: 9,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.57 : 15,296.36 = 6,496.07 : x
  2. Step 2: Convert to fraction form
    10,197.57/15,296.36 = 6,496.07/x
  3. Step 3: Cross multiply
    10,197.57x = 15,296.36 × 6,496.07
  4. Step 4: Simplify right side
    10,197.57x = 99,366,254.54
  5. Step 5: Solve for x
    x = 99,366,254.54/10,197.57
  6. Step 6: Final answer
    x = 9,744.11

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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.