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Finding the Fourth Proportional to 10,696.75, 14,761.23 and 5,851.30

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Solution

The fourth proportional to 10,696.75, 14,761.23 and 5,851.30 is: 8,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.75 : 14,761.23 = 5,851.30 : x
  2. Step 2: Convert to fraction form
    10,696.75/14,761.23 = 5,851.30/x
  3. Step 3: Cross multiply
    10,696.75x = 14,761.23 × 5,851.30
  4. Step 4: Simplify right side
    10,696.75x = 86,372,385.10
  5. Step 5: Solve for x
    x = 86,372,385.10/10,696.75
  6. Step 6: Final answer
    x = 8,074.64

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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.