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Finding the Fourth Proportional to 7,624.02, 11,440.80 and 3,726.30

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Solution

The fourth proportional to 7,624.02, 11,440.80 and 3,726.30 is: 5,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.02 : 11,440.80 = 3,726.30 : x
  2. Step 2: Convert to fraction form
    7,624.02/11,440.80 = 3,726.30/x
  3. Step 3: Cross multiply
    7,624.02x = 11,440.80 × 3,726.30
  4. Step 4: Simplify right side
    7,624.02x = 42,631,853.04
  5. Step 5: Solve for x
    x = 42,631,853.04/7,624.02
  6. Step 6: Final answer
    x = 5,591.78

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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.