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Finding the Fourth Proportional to 8,507.50, 12,761.25 and 3,317.02

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Solution

The fourth proportional to 8,507.50, 12,761.25 and 3,317.02 is: 4,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.50 : 12,761.25 = 3,317.02 : x
  2. Step 2: Convert to fraction form
    8,507.50/12,761.25 = 3,317.02/x
  3. Step 3: Cross multiply
    8,507.50x = 12,761.25 × 3,317.02
  4. Step 4: Simplify right side
    8,507.50x = 42,329,321.48
  5. Step 5: Solve for x
    x = 42,329,321.48/8,507.50
  6. Step 6: Final answer
    x = 4,975.53

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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.