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Finding the Fourth Proportional to 10,761.80, 14,851.42 and 6,512.81

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Solution

The fourth proportional to 10,761.80, 14,851.42 and 6,512.81 is: 8,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.80 : 14,851.42 = 6,512.81 : x
  2. Step 2: Convert to fraction form
    10,761.80/14,851.42 = 6,512.81/x
  3. Step 3: Cross multiply
    10,761.80x = 14,851.42 × 6,512.81
  4. Step 4: Simplify right side
    10,761.80x = 96,724,386.15
  5. Step 5: Solve for x
    x = 96,724,386.15/10,761.80
  6. Step 6: Final answer
    x = 8,987.76

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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.