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Finding the Fourth Proportional to 11,433.96, 17,152.56 and 3,642.84

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Solution

The fourth proportional to 11,433.96, 17,152.56 and 3,642.84 is: 5,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.96 : 17,152.56 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    11,433.96/17,152.56 = 3,642.84/x
  3. Step 3: Cross multiply
    11,433.96x = 17,152.56 × 3,642.84
  4. Step 4: Simplify right side
    11,433.96x = 62,484,031.67
  5. Step 5: Solve for x
    x = 62,484,031.67/11,433.96
  6. Step 6: Final answer
    x = 5,464.78

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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.