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Finding the Fourth Proportional to 7,468.30, 10,299.45 and 5,976.28

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Solution

The fourth proportional to 7,468.30, 10,299.45 and 5,976.28 is: 8,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.30 : 10,299.45 = 5,976.28 : x
  2. Step 2: Convert to fraction form
    7,468.30/10,299.45 = 5,976.28/x
  3. Step 3: Cross multiply
    7,468.30x = 10,299.45 × 5,976.28
  4. Step 4: Simplify right side
    7,468.30x = 61,552,397.05
  5. Step 5: Solve for x
    x = 61,552,397.05/7,468.30
  6. Step 6: Final answer
    x = 8,241.82

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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.