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Finding the Fourth Proportional to 8,502.02, 12,747.81 and 2,952.98

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Solution

The fourth proportional to 8,502.02, 12,747.81 and 2,952.98 is: 4,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.02 : 12,747.81 = 2,952.98 : x
  2. Step 2: Convert to fraction form
    8,502.02/12,747.81 = 2,952.98/x
  3. Step 3: Cross multiply
    8,502.02x = 12,747.81 × 2,952.98
  4. Step 4: Simplify right side
    8,502.02x = 37,644,027.97
  5. Step 5: Solve for x
    x = 37,644,027.97/8,502.02
  6. Step 6: Final answer
    x = 4,427.66

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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.