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Finding the Fourth Proportional to 7,519.74, 10,377.16 and 4,162.65

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Solution

The fourth proportional to 7,519.74, 10,377.16 and 4,162.65 is: 5,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519.74 : 10,377.16 = 4,162.65 : x
  2. Step 2: Convert to fraction form
    7,519.74/10,377.16 = 4,162.65/x
  3. Step 3: Cross multiply
    7,519.74x = 10,377.16 × 4,162.65
  4. Step 4: Simplify right side
    7,519.74x = 43,196,485.07
  5. Step 5: Solve for x
    x = 43,196,485.07/7,519.74
  6. Step 6: Final answer
    x = 5,744.41

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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.