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Finding the Fourth Proportional to 7,855.64, 10,841.84 and 5,069.24

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Solution

The fourth proportional to 7,855.64, 10,841.84 and 5,069.24 is: 6,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.64 : 10,841.84 = 5,069.24 : x
  2. Step 2: Convert to fraction form
    7,855.64/10,841.84 = 5,069.24/x
  3. Step 3: Cross multiply
    7,855.64x = 10,841.84 × 5,069.24
  4. Step 4: Simplify right side
    7,855.64x = 54,959,889.00
  5. Step 5: Solve for x
    x = 54,959,889.00/7,855.64
  6. Step 6: Final answer
    x = 6,996.23

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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.