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Finding the Fourth Proportional to 10,202.30, 14,079.18 and 5,726.48

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Solution

The fourth proportional to 10,202.30, 14,079.18 and 5,726.48 is: 7,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.30 : 14,079.18 = 5,726.48 : x
  2. Step 2: Convert to fraction form
    10,202.30/14,079.18 = 5,726.48/x
  3. Step 3: Cross multiply
    10,202.30x = 14,079.18 × 5,726.48
  4. Step 4: Simplify right side
    10,202.30x = 80,624,142.69
  5. Step 5: Solve for x
    x = 80,624,142.69/10,202.30
  6. Step 6: Final answer
    x = 7,902.55

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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.