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Finding the Fourth Proportional to 6,365.20, 9,508.93 and 5,068.12

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Solution

The fourth proportional to 6,365.20, 9,508.93 and 5,068.12 is: 7,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.20 : 9,508.93 = 5,068.12 : x
  2. Step 2: Convert to fraction form
    6,365.20/9,508.93 = 5,068.12/x
  3. Step 3: Cross multiply
    6,365.20x = 9,508.93 × 5,068.12
  4. Step 4: Simplify right side
    6,365.20x = 48,192,398.31
  5. Step 5: Solve for x
    x = 48,192,398.31/6,365.20
  6. Step 6: Final answer
    x = 7,571.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.