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Finding the Fourth Proportional to 8,176.30, 12,257.04 and 2,978.50

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Solution

The fourth proportional to 8,176.30, 12,257.04 and 2,978.50 is: 4,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.30 : 12,257.04 = 2,978.50 : x
  2. Step 2: Convert to fraction form
    8,176.30/12,257.04 = 2,978.50/x
  3. Step 3: Cross multiply
    8,176.30x = 12,257.04 × 2,978.50
  4. Step 4: Simplify right side
    8,176.30x = 36,507,593.64
  5. Step 5: Solve for x
    x = 36,507,593.64/8,176.30
  6. Step 6: Final answer
    x = 4,465.05

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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.