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Finding the Fourth Proportional to 10,696.32, 14,761.12 and 5,981.12

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Solution

The fourth proportional to 10,696.32, 14,761.12 and 5,981.12 is: 8,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.32 : 14,761.12 = 5,981.12 : x
  2. Step 2: Convert to fraction form
    10,696.32/14,761.12 = 5,981.12/x
  3. Step 3: Cross multiply
    10,696.32x = 14,761.12 × 5,981.12
  4. Step 4: Simplify right side
    10,696.32x = 88,288,030.05
  5. Step 5: Solve for x
    x = 88,288,030.05/10,696.32
  6. Step 6: Final answer
    x = 8,254.06

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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.