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Finding the Fourth Proportional to 8,316.12, 11,481.64 and 6,424.40

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Solution

The fourth proportional to 8,316.12, 11,481.64 and 6,424.40 is: 8,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.12 : 11,481.64 = 6,424.40 : x
  2. Step 2: Convert to fraction form
    8,316.12/11,481.64 = 6,424.40/x
  3. Step 3: Cross multiply
    8,316.12x = 11,481.64 × 6,424.40
  4. Step 4: Simplify right side
    8,316.12x = 73,762,648.02
  5. Step 5: Solve for x
    x = 73,762,648.02/8,316.12
  6. Step 6: Final answer
    x = 8,869.84

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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.