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Finding the Fourth Proportional to 7,858.12, 11,776.18 and 5,908.04

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Solution

The fourth proportional to 7,858.12, 11,776.18 and 5,908.04 is: 8,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.12 : 11,776.18 = 5,908.04 : x
  2. Step 2: Convert to fraction form
    7,858.12/11,776.18 = 5,908.04/x
  3. Step 3: Cross multiply
    7,858.12x = 11,776.18 × 5,908.04
  4. Step 4: Simplify right side
    7,858.12x = 69,574,142.49
  5. Step 5: Solve for x
    x = 69,574,142.49/7,858.12
  6. Step 6: Final answer
    x = 8,853.79

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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.