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Finding the Fourth Proportional to 7,857.46, 11,783.67 and 2,591.29

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Solution

The fourth proportional to 7,857.46, 11,783.67 and 2,591.29 is: 3,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.46 : 11,783.67 = 2,591.29 : x
  2. Step 2: Convert to fraction form
    7,857.46/11,783.67 = 2,591.29/x
  3. Step 3: Cross multiply
    7,857.46x = 11,783.67 × 2,591.29
  4. Step 4: Simplify right side
    7,857.46x = 30,534,849.82
  5. Step 5: Solve for x
    x = 30,534,849.82/7,857.46
  6. Step 6: Final answer
    x = 3,886.10

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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.