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Finding the Fourth Proportional to 7,564.97, 10,438.67 and 4,207.11

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Solution

The fourth proportional to 7,564.97, 10,438.67 and 4,207.11 is: 5,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.97 : 10,438.67 = 4,207.11 : x
  2. Step 2: Convert to fraction form
    7,564.97/10,438.67 = 4,207.11/x
  3. Step 3: Cross multiply
    7,564.97x = 10,438.67 × 4,207.11
  4. Step 4: Simplify right side
    7,564.97x = 43,916,611.91
  5. Step 5: Solve for x
    x = 43,916,611.91/7,564.97
  6. Step 6: Final answer
    x = 5,805.26

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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.