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Finding the Fourth Proportional to 10,696.17, 14,761.19 and 5,980.46

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Solution

The fourth proportional to 10,696.17, 14,761.19 and 5,980.46 is: 8,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.17 : 14,761.19 = 5,980.46 : x
  2. Step 2: Convert to fraction form
    10,696.17/14,761.19 = 5,980.46/x
  3. Step 3: Cross multiply
    10,696.17x = 14,761.19 × 5,980.46
  4. Step 4: Simplify right side
    10,696.17x = 88,278,647.49
  5. Step 5: Solve for x
    x = 88,278,647.49/10,696.17
  6. Step 6: Final answer
    x = 8,253.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.