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Finding the Fourth Proportional to 10,696.96, 14,763.18 and 5,981.50

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Solution

The fourth proportional to 10,696.96, 14,763.18 and 5,981.50 is: 8,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.96 : 14,763.18 = 5,981.50 : x
  2. Step 2: Convert to fraction form
    10,696.96/14,763.18 = 5,981.50/x
  3. Step 3: Cross multiply
    10,696.96x = 14,763.18 × 5,981.50
  4. Step 4: Simplify right side
    10,696.96x = 88,305,961.17
  5. Step 5: Solve for x
    x = 88,305,961.17/10,696.96
  6. Step 6: Final answer
    x = 8,255.24

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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.