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Finding the Fourth Proportional to 8,502, 12,757.44 and 4,064.67

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Solution

The fourth proportional to 8,502, 12,757.44 and 4,064.67 is: 6,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 12,757.44 = 4,064.67 : x
  2. Step 2: Convert to fraction form
    8,502/12,757.44 = 4,064.67/x
  3. Step 3: Cross multiply
    8,502x = 12,757.44 × 4,064.67
  4. Step 4: Simplify right side
    8,502x = 51,854,783.64
  5. Step 5: Solve for x
    x = 51,854,783.64/8,502
  6. Step 6: Final answer
    x = 6,099.13

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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.