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Finding the Fourth Proportional to 10,761.77, 14,851.14 and 5,981.73

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Solution

The fourth proportional to 10,761.77, 14,851.14 and 5,981.73 is: 8,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.77 : 14,851.14 = 5,981.73 : x
  2. Step 2: Convert to fraction form
    10,761.77/14,851.14 = 5,981.73/x
  3. Step 3: Cross multiply
    10,761.77x = 14,851.14 × 5,981.73
  4. Step 4: Simplify right side
    10,761.77x = 88,835,479.76
  5. Step 5: Solve for x
    x = 88,835,479.76/10,761.77
  6. Step 6: Final answer
    x = 8,254.73

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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.