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Finding the Fourth Proportional to 8,291.36, 12,437.04 and 6,827.44

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Solution

The fourth proportional to 8,291.36, 12,437.04 and 6,827.44 is: 10,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.36 : 12,437.04 = 6,827.44 : x
  2. Step 2: Convert to fraction form
    8,291.36/12,437.04 = 6,827.44/x
  3. Step 3: Cross multiply
    8,291.36x = 12,437.04 × 6,827.44
  4. Step 4: Simplify right side
    8,291.36x = 84,913,082.19
  5. Step 5: Solve for x
    x = 84,913,082.19/8,291.36
  6. Step 6: Final answer
    x = 10,241.15

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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.