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Finding the Fourth Proportional to 7,564.01, 10,438.59 and 4,161.17

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Solution

The fourth proportional to 7,564.01, 10,438.59 and 4,161.17 is: 5,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.01 : 10,438.59 = 4,161.17 : x
  2. Step 2: Convert to fraction form
    7,564.01/10,438.59 = 4,161.17/x
  3. Step 3: Cross multiply
    7,564.01x = 10,438.59 × 4,161.17
  4. Step 4: Simplify right side
    7,564.01x = 43,436,747.55
  5. Step 5: Solve for x
    x = 43,436,747.55/7,564.01
  6. Step 6: Final answer
    x = 5,742.55

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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.