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Finding the Fourth Proportional to 9,990.83, 13,787.67 and 5,453.78

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Solution

The fourth proportional to 9,990.83, 13,787.67 and 5,453.78 is: 7,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.83 : 13,787.67 = 5,453.78 : x
  2. Step 2: Convert to fraction form
    9,990.83/13,787.67 = 5,453.78/x
  3. Step 3: Cross multiply
    9,990.83x = 13,787.67 × 5,453.78
  4. Step 4: Simplify right side
    9,990.83x = 75,194,863.59
  5. Step 5: Solve for x
    x = 75,194,863.59/9,990.83
  6. Step 6: Final answer
    x = 7,526.39

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Why These Related Problems?

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