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Finding the Fourth Proportional to 7,673.46, 11,508.21 and 2,742.54

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Solution

The fourth proportional to 7,673.46, 11,508.21 and 2,742.54 is: 4,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.46 : 11,508.21 = 2,742.54 : x
  2. Step 2: Convert to fraction form
    7,673.46/11,508.21 = 2,742.54/x
  3. Step 3: Cross multiply
    7,673.46x = 11,508.21 × 2,742.54
  4. Step 4: Simplify right side
    7,673.46x = 31,561,726.25
  5. Step 5: Solve for x
    x = 31,561,726.25/7,673.46
  6. Step 6: Final answer
    x = 4,113.10

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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.