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Finding the Fourth Proportional to 7,524.05, 10,378.05 and 5,162.09

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Solution

The fourth proportional to 7,524.05, 10,378.05 and 5,162.09 is: 7,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.05 : 10,378.05 = 5,162.09 : x
  2. Step 2: Convert to fraction form
    7,524.05/10,378.05 = 5,162.09/x
  3. Step 3: Cross multiply
    7,524.05x = 10,378.05 × 5,162.09
  4. Step 4: Simplify right side
    7,524.05x = 53,572,428.12
  5. Step 5: Solve for x
    x = 53,572,428.12/7,524.05
  6. Step 6: Final answer
    x = 7,120.16

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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.