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Finding the Fourth Proportional to 10,696.77, 14,761.86 and 5,980.95

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Solution

The fourth proportional to 10,696.77, 14,761.86 and 5,980.95 is: 8,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.77 : 14,761.86 = 5,980.95 : x
  2. Step 2: Convert to fraction form
    10,696.77/14,761.86 = 5,980.95/x
  3. Step 3: Cross multiply
    10,696.77x = 14,761.86 × 5,980.95
  4. Step 4: Simplify right side
    10,696.77x = 88,289,946.57
  5. Step 5: Solve for x
    x = 88,289,946.57/10,696.77
  6. Step 6: Final answer
    x = 8,253.89

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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.