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Finding the Fourth Proportional to 7,844.22, 10,813.59 and 5,602.14

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Solution

The fourth proportional to 7,844.22, 10,813.59 and 5,602.14 is: 7,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.22 : 10,813.59 = 5,602.14 : x
  2. Step 2: Convert to fraction form
    7,844.22/10,813.59 = 5,602.14/x
  3. Step 3: Cross multiply
    7,844.22x = 10,813.59 × 5,602.14
  4. Step 4: Simplify right side
    7,844.22x = 60,579,245.08
  5. Step 5: Solve for x
    x = 60,579,245.08/7,844.22
  6. Step 6: Final answer
    x = 7,722.79

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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.