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Finding the Fourth Proportional to 10,650.66, 15,978.04 and 4,807.27

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Solution

The fourth proportional to 10,650.66, 15,978.04 and 4,807.27 is: 7,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.66 : 15,978.04 = 4,807.27 : x
  2. Step 2: Convert to fraction form
    10,650.66/15,978.04 = 4,807.27/x
  3. Step 3: Cross multiply
    10,650.66x = 15,978.04 × 4,807.27
  4. Step 4: Simplify right side
    10,650.66x = 76,810,697.47
  5. Step 5: Solve for x
    x = 76,810,697.47/10,650.66
  6. Step 6: Final answer
    x = 7,211.83

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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.