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Finding the Fourth Proportional to 8,536.78, 12,807.20 and 2,693.44

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Solution

The fourth proportional to 8,536.78, 12,807.20 and 2,693.44 is: 4,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.78 : 12,807.20 = 2,693.44 : x
  2. Step 2: Convert to fraction form
    8,536.78/12,807.20 = 2,693.44/x
  3. Step 3: Cross multiply
    8,536.78x = 12,807.20 × 2,693.44
  4. Step 4: Simplify right side
    8,536.78x = 34,495,424.77
  5. Step 5: Solve for x
    x = 34,495,424.77/8,536.78
  6. Step 6: Final answer
    x = 4,040.80

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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.