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Finding the Fourth Proportional to 8,330.72, 12,493.32 and 2,782.41

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Solution

The fourth proportional to 8,330.72, 12,493.32 and 2,782.41 is: 4,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.72 : 12,493.32 = 2,782.41 : x
  2. Step 2: Convert to fraction form
    8,330.72/12,493.32 = 2,782.41/x
  3. Step 3: Cross multiply
    8,330.72x = 12,493.32 × 2,782.41
  4. Step 4: Simplify right side
    8,330.72x = 34,761,538.50
  5. Step 5: Solve for x
    x = 34,761,538.50/8,330.72
  6. Step 6: Final answer
    x = 4,172.70

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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.