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Finding the Fourth Proportional to 8,540.80, 12,810.72 and 2,384.80

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Solution

The fourth proportional to 8,540.80, 12,810.72 and 2,384.80 is: 3,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.80 : 12,810.72 = 2,384.80 : x
  2. Step 2: Convert to fraction form
    8,540.80/12,810.72 = 2,384.80/x
  3. Step 3: Cross multiply
    8,540.80x = 12,810.72 × 2,384.80
  4. Step 4: Simplify right side
    8,540.80x = 30,551,005.06
  5. Step 5: Solve for x
    x = 30,551,005.06/8,540.80
  6. Step 6: Final answer
    x = 3,577.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.