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Finding the Fourth Proportional to 7,564.34, 10,438.73 and 4,207.14

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Solution

The fourth proportional to 7,564.34, 10,438.73 and 4,207.14 is: 5,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.34 : 10,438.73 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    7,564.34/10,438.73 = 4,207.14/x
  3. Step 3: Cross multiply
    7,564.34x = 10,438.73 × 4,207.14
  4. Step 4: Simplify right side
    7,564.34x = 43,917,177.50
  5. Step 5: Solve for x
    x = 43,917,177.50/7,564.34
  6. Step 6: Final answer
    x = 5,805.82

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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.