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Finding the Fourth Proportional to 10,696.64, 14,761.59 and 5,980.82

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Solution

The fourth proportional to 10,696.64, 14,761.59 and 5,980.82 is: 8,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.64 : 14,761.59 = 5,980.82 : x
  2. Step 2: Convert to fraction form
    10,696.64/14,761.59 = 5,980.82/x
  3. Step 3: Cross multiply
    10,696.64x = 14,761.59 × 5,980.82
  4. Step 4: Simplify right side
    10,696.64x = 88,286,412.70
  5. Step 5: Solve for x
    x = 88,286,412.70/10,696.64
  6. Step 6: Final answer
    x = 8,253.66

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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.