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Finding the Fourth Proportional to 8,293.02, 12,425.66 and 3,606

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Solution

The fourth proportional to 8,293.02, 12,425.66 and 3,606 is: 5,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.02 : 12,425.66 = 3,606 : x
  2. Step 2: Convert to fraction form
    8,293.02/12,425.66 = 3,606/x
  3. Step 3: Cross multiply
    8,293.02x = 12,425.66 × 3,606
  4. Step 4: Simplify right side
    8,293.02x = 44,806,938.98
  5. Step 5: Solve for x
    x = 44,806,938.98/8,293.02
  6. Step 6: Final answer
    x = 5,402.97

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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.