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Finding the Fourth Proportional to 8,670.33, 13,000.03 and 4,777.47

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Solution

The fourth proportional to 8,670.33, 13,000.03 and 4,777.47 is: 7,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.33 : 13,000.03 = 4,777.47 : x
  2. Step 2: Convert to fraction form
    8,670.33/13,000.03 = 4,777.47/x
  3. Step 3: Cross multiply
    8,670.33x = 13,000.03 × 4,777.47
  4. Step 4: Simplify right side
    8,670.33x = 62,107,229.44
  5. Step 5: Solve for x
    x = 62,107,229.44/8,670.33
  6. Step 6: Final answer
    x = 7,163.19

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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.