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Finding the Fourth Proportional to 10,343.76, 14,273.78 and 5,868.60

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Solution

The fourth proportional to 10,343.76, 14,273.78 and 5,868.60 is: 8,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.76 : 14,273.78 = 5,868.60 : x
  2. Step 2: Convert to fraction form
    10,343.76/14,273.78 = 5,868.60/x
  3. Step 3: Cross multiply
    10,343.76x = 14,273.78 × 5,868.60
  4. Step 4: Simplify right side
    10,343.76x = 83,767,105.31
  5. Step 5: Solve for x
    x = 83,767,105.31/10,343.76
  6. Step 6: Final answer
    x = 8,098.32

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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.