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Finding the Fourth Proportional to 8,976.51, 13,462.02 and 4,294.05

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Solution

The fourth proportional to 8,976.51, 13,462.02 and 4,294.05 is: 6,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.51 : 13,462.02 = 4,294.05 : x
  2. Step 2: Convert to fraction form
    8,976.51/13,462.02 = 4,294.05/x
  3. Step 3: Cross multiply
    8,976.51x = 13,462.02 × 4,294.05
  4. Step 4: Simplify right side
    8,976.51x = 57,806,586.98
  5. Step 5: Solve for x
    x = 57,806,586.98/8,976.51
  6. Step 6: Final answer
    x = 6,439.76

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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.