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Finding the Fourth Proportional to 7,844.42, 10,827.29 and 4,488.28

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Solution

The fourth proportional to 7,844.42, 10,827.29 and 4,488.28 is: 6,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.42 : 10,827.29 = 4,488.28 : x
  2. Step 2: Convert to fraction form
    7,844.42/10,827.29 = 4,488.28/x
  3. Step 3: Cross multiply
    7,844.42x = 10,827.29 × 4,488.28
  4. Step 4: Simplify right side
    7,844.42x = 48,595,893.31
  5. Step 5: Solve for x
    x = 48,595,893.31/7,844.42
  6. Step 6: Final answer
    x = 6,194.96

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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.