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Finding the Fourth Proportional to 8,231.36, 12,347.37 and 6,854.42

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Solution

The fourth proportional to 8,231.36, 12,347.37 and 6,854.42 is: 10,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.36 : 12,347.37 = 6,854.42 : x
  2. Step 2: Convert to fraction form
    8,231.36/12,347.37 = 6,854.42/x
  3. Step 3: Cross multiply
    8,231.36x = 12,347.37 × 6,854.42
  4. Step 4: Simplify right side
    8,231.36x = 84,634,090.74
  5. Step 5: Solve for x
    x = 84,634,090.74/8,231.36
  6. Step 6: Final answer
    x = 10,281.91

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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.