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Finding the Fourth Proportional to 7,844.74, 10,825.77 and 4,487.59

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Solution

The fourth proportional to 7,844.74, 10,825.77 and 4,487.59 is: 6,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.74 : 10,825.77 = 4,487.59 : x
  2. Step 2: Convert to fraction form
    7,844.74/10,825.77 = 4,487.59/x
  3. Step 3: Cross multiply
    7,844.74x = 10,825.77 × 4,487.59
  4. Step 4: Simplify right side
    7,844.74x = 48,581,563.07
  5. Step 5: Solve for x
    x = 48,581,563.07/7,844.74
  6. Step 6: Final answer
    x = 6,192.89

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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.