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Finding the Fourth Proportional to 8,693.34, 13,040.02 and 6,107.82

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Solution

The fourth proportional to 8,693.34, 13,040.02 and 6,107.82 is: 9,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.34 : 13,040.02 = 6,107.82 : x
  2. Step 2: Convert to fraction form
    8,693.34/13,040.02 = 6,107.82/x
  3. Step 3: Cross multiply
    8,693.34x = 13,040.02 × 6,107.82
  4. Step 4: Simplify right side
    8,693.34x = 79,646,094.96
  5. Step 5: Solve for x
    x = 79,646,094.96/8,693.34
  6. Step 6: Final answer
    x = 9,161.74

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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.