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Finding the Fourth Proportional to 10,696.56, 14,761.54 and 5,980.84

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Solution

The fourth proportional to 10,696.56, 14,761.54 and 5,980.84 is: 8,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.56 : 14,761.54 = 5,980.84 : x
  2. Step 2: Convert to fraction form
    10,696.56/14,761.54 = 5,980.84/x
  3. Step 3: Cross multiply
    10,696.56x = 14,761.54 × 5,980.84
  4. Step 4: Simplify right side
    10,696.56x = 88,286,379.47
  5. Step 5: Solve for x
    x = 88,286,379.47/10,696.56
  6. Step 6: Final answer
    x = 8,253.72

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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.