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Finding the Fourth Proportional to 8,540.16, 12,810.24 and 2,384

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Solution

The fourth proportional to 8,540.16, 12,810.24 and 2,384 is: 3,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.16 : 12,810.24 = 2,384 : x
  2. Step 2: Convert to fraction form
    8,540.16/12,810.24 = 2,384/x
  3. Step 3: Cross multiply
    8,540.16x = 12,810.24 × 2,384
  4. Step 4: Simplify right side
    8,540.16x = 30,539,612.16
  5. Step 5: Solve for x
    x = 30,539,612.16/8,540.16
  6. Step 6: Final answer
    x = 3,576

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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.