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Finding the Fourth Proportional to 7,844.70, 10,824.03 and 4,486.65

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Solution

The fourth proportional to 7,844.70, 10,824.03 and 4,486.65 is: 6,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.70 : 10,824.03 = 4,486.65 : x
  2. Step 2: Convert to fraction form
    7,844.70/10,824.03 = 4,486.65/x
  3. Step 3: Cross multiply
    7,844.70x = 10,824.03 × 4,486.65
  4. Step 4: Simplify right side
    7,844.70x = 48,563,634.20
  5. Step 5: Solve for x
    x = 48,563,634.20/7,844.70
  6. Step 6: Final answer
    x = 6,190.63

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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.