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Finding the Fourth Proportional to 7,354.80, 11,032.56 and 2,424.42

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Solution

The fourth proportional to 7,354.80, 11,032.56 and 2,424.42 is: 3,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.80 : 11,032.56 = 2,424.42 : x
  2. Step 2: Convert to fraction form
    7,354.80/11,032.56 = 2,424.42/x
  3. Step 3: Cross multiply
    7,354.80x = 11,032.56 × 2,424.42
  4. Step 4: Simplify right side
    7,354.80x = 26,747,559.12
  5. Step 5: Solve for x
    x = 26,747,559.12/7,354.80
  6. Step 6: Final answer
    x = 3,636.75

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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.