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Finding the Fourth Proportional to 8,056.40, 11,097.04 and 5,694.44

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Solution

The fourth proportional to 8,056.40, 11,097.04 and 5,694.44 is: 7,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.40 : 11,097.04 = 5,694.44 : x
  2. Step 2: Convert to fraction form
    8,056.40/11,097.04 = 5,694.44/x
  3. Step 3: Cross multiply
    8,056.40x = 11,097.04 × 5,694.44
  4. Step 4: Simplify right side
    8,056.40x = 63,191,428.46
  5. Step 5: Solve for x
    x = 63,191,428.46/8,056.40
  6. Step 6: Final answer
    x = 7,843.63

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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.