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Finding the Fourth Proportional to 7,354.68, 11,032.74 and 2,424.36

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Solution

The fourth proportional to 7,354.68, 11,032.74 and 2,424.36 is: 3,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.68 : 11,032.74 = 2,424.36 : x
  2. Step 2: Convert to fraction form
    7,354.68/11,032.74 = 2,424.36/x
  3. Step 3: Cross multiply
    7,354.68x = 11,032.74 × 2,424.36
  4. Step 4: Simplify right side
    7,354.68x = 26,747,333.55
  5. Step 5: Solve for x
    x = 26,747,333.55/7,354.68
  6. Step 6: Final answer
    x = 3,636.78

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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.