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Finding the Fourth Proportional to 7,564.31, 10,433.27 and 5,833.20

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Solution

The fourth proportional to 7,564.31, 10,433.27 and 5,833.20 is: 8,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.31 : 10,433.27 = 5,833.20 : x
  2. Step 2: Convert to fraction form
    7,564.31/10,433.27 = 5,833.20/x
  3. Step 3: Cross multiply
    7,564.31x = 10,433.27 × 5,833.20
  4. Step 4: Simplify right side
    7,564.31x = 60,859,404.27
  5. Step 5: Solve for x
    x = 60,859,404.27/7,564.31
  6. Step 6: Final answer
    x = 8,045.60

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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.