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Finding the Fourth Proportional to 10,202.63, 14,079.59 and 5,726.80

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Solution

The fourth proportional to 10,202.63, 14,079.59 and 5,726.80 is: 7,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.63 : 14,079.59 = 5,726.80 : x
  2. Step 2: Convert to fraction form
    10,202.63/14,079.59 = 5,726.80/x
  3. Step 3: Cross multiply
    10,202.63x = 14,079.59 × 5,726.80
  4. Step 4: Simplify right side
    10,202.63x = 80,631,006.45
  5. Step 5: Solve for x
    x = 80,631,006.45/10,202.63
  6. Step 6: Final answer
    x = 7,902.97

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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.