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Finding the Fourth Proportional to 8,540.65, 12,810.45 and 3,202.77

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Solution

The fourth proportional to 8,540.65, 12,810.45 and 3,202.77 is: 4,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.65 : 12,810.45 = 3,202.77 : x
  2. Step 2: Convert to fraction form
    8,540.65/12,810.45 = 3,202.77/x
  3. Step 3: Cross multiply
    8,540.65x = 12,810.45 × 3,202.77
  4. Step 4: Simplify right side
    8,540.65x = 41,028,924.95
  5. Step 5: Solve for x
    x = 41,028,924.95/8,540.65
  6. Step 6: Final answer
    x = 4,803.96

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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.