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Finding the Fourth Proportional to 11,824.70, 16,320.03 and 7,111.58

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Solution

The fourth proportional to 11,824.70, 16,320.03 and 7,111.58 is: 9,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.70 : 16,320.03 = 7,111.58 : x
  2. Step 2: Convert to fraction form
    11,824.70/16,320.03 = 7,111.58/x
  3. Step 3: Cross multiply
    11,824.70x = 16,320.03 × 7,111.58
  4. Step 4: Simplify right side
    11,824.70x = 116,061,198.95
  5. Step 5: Solve for x
    x = 116,061,198.95/11,824.70
  6. Step 6: Final answer
    x = 9,815.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.