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Finding the Fourth Proportional to 10,697.52, 14,763.26 and 5,981.82

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Solution

The fourth proportional to 10,697.52, 14,763.26 and 5,981.82 is: 8,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.52 : 14,763.26 = 5,981.82 : x
  2. Step 2: Convert to fraction form
    10,697.52/14,763.26 = 5,981.82/x
  3. Step 3: Cross multiply
    10,697.52x = 14,763.26 × 5,981.82
  4. Step 4: Simplify right side
    10,697.52x = 88,311,134.02
  5. Step 5: Solve for x
    x = 88,311,134.02/10,697.52
  6. Step 6: Final answer
    x = 8,255.29

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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.