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Finding the Fourth Proportional to 10,203.05, 14,079.89 and 5,726.69

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Solution

The fourth proportional to 10,203.05, 14,079.89 and 5,726.69 is: 7,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.05 : 14,079.89 = 5,726.69 : x
  2. Step 2: Convert to fraction form
    10,203.05/14,079.89 = 5,726.69/x
  3. Step 3: Cross multiply
    10,203.05x = 14,079.89 × 5,726.69
  4. Step 4: Simplify right side
    10,203.05x = 80,631,165.26
  5. Step 5: Solve for x
    x = 80,631,165.26/10,203.05
  6. Step 6: Final answer
    x = 7,902.65

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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.