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Finding the Fourth Proportional to 7,420.91, 10,223.28 and 5,178.83

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Solution

The fourth proportional to 7,420.91, 10,223.28 and 5,178.83 is: 7,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.91 : 10,223.28 = 5,178.83 : x
  2. Step 2: Convert to fraction form
    7,420.91/10,223.28 = 5,178.83/x
  3. Step 3: Cross multiply
    7,420.91x = 10,223.28 × 5,178.83
  4. Step 4: Simplify right side
    7,420.91x = 52,944,578.05
  5. Step 5: Solve for x
    x = 52,944,578.05/7,420.91
  6. Step 6: Final answer
    x = 7,134.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.