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Finding the Fourth Proportional to 8,538.78, 12,809.40 and 2,693.40

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Solution

The fourth proportional to 8,538.78, 12,809.40 and 2,693.40 is: 4,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.78 : 12,809.40 = 2,693.40 : x
  2. Step 2: Convert to fraction form
    8,538.78/12,809.40 = 2,693.40/x
  3. Step 3: Cross multiply
    8,538.78x = 12,809.40 × 2,693.40
  4. Step 4: Simplify right side
    8,538.78x = 34,500,837.96
  5. Step 5: Solve for x
    x = 34,500,837.96/8,538.78
  6. Step 6: Final answer
    x = 4,040.49

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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.