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Finding the Fourth Proportional to 7,867.76, 10,857.65 and 4,331.03

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Solution

The fourth proportional to 7,867.76, 10,857.65 and 4,331.03 is: 5,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.76 : 10,857.65 = 4,331.03 : x
  2. Step 2: Convert to fraction form
    7,867.76/10,857.65 = 4,331.03/x
  3. Step 3: Cross multiply
    7,867.76x = 10,857.65 × 4,331.03
  4. Step 4: Simplify right side
    7,867.76x = 47,024,731.94
  5. Step 5: Solve for x
    x = 47,024,731.94/7,867.76
  6. Step 6: Final answer
    x = 5,976.89

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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.