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Finding the Fourth Proportional to 7,943.17, 11,895.97 and 6,897.49

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Solution

The fourth proportional to 7,943.17, 11,895.97 and 6,897.49 is: 10,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.17 : 11,895.97 = 6,897.49 : x
  2. Step 2: Convert to fraction form
    7,943.17/11,895.97 = 6,897.49/x
  3. Step 3: Cross multiply
    7,943.17x = 11,895.97 × 6,897.49
  4. Step 4: Simplify right side
    7,943.17x = 82,052,240.15
  5. Step 5: Solve for x
    x = 82,052,240.15/7,943.17
  6. Step 6: Final answer
    x = 10,329.92

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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.