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Finding the Fourth Proportional to 10,279.80, 14,174.29 and 7,594.90

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Solution

The fourth proportional to 10,279.80, 14,174.29 and 7,594.90 is: 10,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 14,174.29 = 7,594.90 : x
  2. Step 2: Convert to fraction form
    10,279.80/14,174.29 = 7,594.90/x
  3. Step 3: Cross multiply
    10,279.80x = 14,174.29 × 7,594.90
  4. Step 4: Simplify right side
    10,279.80x = 107,652,315.12
  5. Step 5: Solve for x
    x = 107,652,315.12/10,279.80
  6. Step 6: Final answer
    x = 10,472.22

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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.