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Finding the Fourth Proportional to 8,500.64, 12,747.81 and 2,952.50

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Solution

The fourth proportional to 8,500.64, 12,747.81 and 2,952.50 is: 4,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.64 : 12,747.81 = 2,952.50 : x
  2. Step 2: Convert to fraction form
    8,500.64/12,747.81 = 2,952.50/x
  3. Step 3: Cross multiply
    8,500.64x = 12,747.81 × 2,952.50
  4. Step 4: Simplify right side
    8,500.64x = 37,637,909.03
  5. Step 5: Solve for x
    x = 37,637,909.03/8,500.64
  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.