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Finding the Fourth Proportional to 8,180.95, 12,276.78 and 4,485.76

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Solution

The fourth proportional to 8,180.95, 12,276.78 and 4,485.76 is: 6,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.95 : 12,276.78 = 4,485.76 : x
  2. Step 2: Convert to fraction form
    8,180.95/12,276.78 = 4,485.76/x
  3. Step 3: Cross multiply
    8,180.95x = 12,276.78 × 4,485.76
  4. Step 4: Simplify right side
    8,180.95x = 55,070,688.65
  5. Step 5: Solve for x
    x = 55,070,688.65/8,180.95
  6. Step 6: Final answer
    x = 6,731.58

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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.