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Finding the Fourth Proportional to 8,188.10, 12,284.56 and 2,641.34

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Solution

The fourth proportional to 8,188.10, 12,284.56 and 2,641.34 is: 3,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.10 : 12,284.56 = 2,641.34 : x
  2. Step 2: Convert to fraction form
    8,188.10/12,284.56 = 2,641.34/x
  3. Step 3: Cross multiply
    8,188.10x = 12,284.56 × 2,641.34
  4. Step 4: Simplify right side
    8,188.10x = 32,447,699.71
  5. Step 5: Solve for x
    x = 32,447,699.71/8,188.10
  6. Step 6: Final answer
    x = 3,962.79

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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.