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Finding the Fourth Proportional to 7,564.39, 10,438.92 and 4,207.54

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Solution

The fourth proportional to 7,564.39, 10,438.92 and 4,207.54 is: 5,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.39 : 10,438.92 = 4,207.54 : x
  2. Step 2: Convert to fraction form
    7,564.39/10,438.92 = 4,207.54/x
  3. Step 3: Cross multiply
    7,564.39x = 10,438.92 × 4,207.54
  4. Step 4: Simplify right side
    7,564.39x = 43,922,173.46
  5. Step 5: Solve for x
    x = 43,922,173.46/7,564.39
  6. Step 6: Final answer
    x = 5,806.44

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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.