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Finding the Fourth Proportional to 7,174.24, 9,899.40 and 4,029.80

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Solution

The fourth proportional to 7,174.24, 9,899.40 and 4,029.80 is: 5,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.24 : 9,899.40 = 4,029.80 : x
  2. Step 2: Convert to fraction form
    7,174.24/9,899.40 = 4,029.80/x
  3. Step 3: Cross multiply
    7,174.24x = 9,899.40 × 4,029.80
  4. Step 4: Simplify right side
    7,174.24x = 39,892,602.12
  5. Step 5: Solve for x
    x = 39,892,602.12/7,174.24
  6. Step 6: Final answer
    x = 5,560.53

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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.