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Finding the Fourth Proportional to 10,202.65, 15,302.13 and 6,493.87

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Solution

The fourth proportional to 10,202.65, 15,302.13 and 6,493.87 is: 9,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.65 : 15,302.13 = 6,493.87 : x
  2. Step 2: Convert to fraction form
    10,202.65/15,302.13 = 6,493.87/x
  3. Step 3: Cross multiply
    10,202.65x = 15,302.13 × 6,493.87
  4. Step 4: Simplify right side
    10,202.65x = 99,370,042.94
  5. Step 5: Solve for x
    x = 99,370,042.94/10,202.65
  6. Step 6: Final answer
    x = 9,739.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.