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Finding the Fourth Proportional to 11,648.74, 17,472.66 and 2,883.46

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Solution

The fourth proportional to 11,648.74, 17,472.66 and 2,883.46 is: 4,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.74 : 17,472.66 = 2,883.46 : x
  2. Step 2: Convert to fraction form
    11,648.74/17,472.66 = 2,883.46/x
  3. Step 3: Cross multiply
    11,648.74x = 17,472.66 × 2,883.46
  4. Step 4: Simplify right side
    11,648.74x = 50,381,716.20
  5. Step 5: Solve for x
    x = 50,381,716.20/11,648.74
  6. Step 6: Final answer
    x = 4,325.08

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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.