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Finding the Fourth Proportional to 8,189.63, 12,285.08 and 2,925.78

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Solution

The fourth proportional to 8,189.63, 12,285.08 and 2,925.78 is: 4,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.63 : 12,285.08 = 2,925.78 : x
  2. Step 2: Convert to fraction form
    8,189.63/12,285.08 = 2,925.78/x
  3. Step 3: Cross multiply
    8,189.63x = 12,285.08 × 2,925.78
  4. Step 4: Simplify right side
    8,189.63x = 35,943,441.36
  5. Step 5: Solve for x
    x = 35,943,441.36/8,189.63
  6. Step 6: Final answer
    x = 4,388.90

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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.