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Finding the Fourth Proportional to 7,678.50, 10,593.28 and 5,162.24

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Solution

The fourth proportional to 7,678.50, 10,593.28 and 5,162.24 is: 7,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.50 : 10,593.28 = 5,162.24 : x
  2. Step 2: Convert to fraction form
    7,678.50/10,593.28 = 5,162.24/x
  3. Step 3: Cross multiply
    7,678.50x = 10,593.28 × 5,162.24
  4. Step 4: Simplify right side
    7,678.50x = 54,685,053.75
  5. Step 5: Solve for x
    x = 54,685,053.75/7,678.50
  6. Step 6: Final answer
    x = 7,121.84

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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.