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Finding the Fourth Proportional to 10,342.20, 14,273 and 5,866.72

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Solution

The fourth proportional to 10,342.20, 14,273 and 5,866.72 is: 8,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.20 : 14,273 = 5,866.72 : x
  2. Step 2: Convert to fraction form
    10,342.20/14,273 = 5,866.72/x
  3. Step 3: Cross multiply
    10,342.20x = 14,273 × 5,866.72
  4. Step 4: Simplify right side
    10,342.20x = 83,735,694.56
  5. Step 5: Solve for x
    x = 83,735,694.56/10,342.20
  6. Step 6: Final answer
    x = 8,096.51

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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.