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Finding the Fourth Proportional to 7,747.98, 11,617.03 and 3,582.42

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Solution

The fourth proportional to 7,747.98, 11,617.03 and 3,582.42 is: 5,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.98 : 11,617.03 = 3,582.42 : x
  2. Step 2: Convert to fraction form
    7,747.98/11,617.03 = 3,582.42/x
  3. Step 3: Cross multiply
    7,747.98x = 11,617.03 × 3,582.42
  4. Step 4: Simplify right side
    7,747.98x = 41,617,080.61
  5. Step 5: Solve for x
    x = 41,617,080.61/7,747.98
  6. Step 6: Final answer
    x = 5,371.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.