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Finding the Fourth Proportional to 10,343.50, 14,272.95 and 5,865.82

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Solution

The fourth proportional to 10,343.50, 14,272.95 and 5,865.82 is: 8,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.50 : 14,272.95 = 5,865.82 : x
  2. Step 2: Convert to fraction form
    10,343.50/14,272.95 = 5,865.82/x
  3. Step 3: Cross multiply
    10,343.50x = 14,272.95 × 5,865.82
  4. Step 4: Simplify right side
    10,343.50x = 83,722,555.57
  5. Step 5: Solve for x
    x = 83,722,555.57/10,343.50
  6. Step 6: Final answer
    x = 8,094.22

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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.