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Finding the Fourth Proportional to 7,024.26, 9,693.77 and 4,040.10

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Solution

The fourth proportional to 7,024.26, 9,693.77 and 4,040.10 is: 5,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.26 : 9,693.77 = 4,040.10 : x
  2. Step 2: Convert to fraction form
    7,024.26/9,693.77 = 4,040.10/x
  3. Step 3: Cross multiply
    7,024.26x = 9,693.77 × 4,040.10
  4. Step 4: Simplify right side
    7,024.26x = 39,163,743.62
  5. Step 5: Solve for x
    x = 39,163,743.62/7,024.26
  6. Step 6: Final answer
    x = 5,575.49

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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.