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Finding the Fourth Proportional to 7,568.39, 10,444.11 and 4,424.51

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Solution

The fourth proportional to 7,568.39, 10,444.11 and 4,424.51 is: 6,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.39 : 10,444.11 = 4,424.51 : x
  2. Step 2: Convert to fraction form
    7,568.39/10,444.11 = 4,424.51/x
  3. Step 3: Cross multiply
    7,568.39x = 10,444.11 × 4,424.51
  4. Step 4: Simplify right side
    7,568.39x = 46,210,078.65
  5. Step 5: Solve for x
    x = 46,210,078.65/7,568.39
  6. Step 6: Final answer
    x = 6,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.