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Finding the Fourth Proportional to 7,061.31, 9,744.24 and 4,078.08

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Solution

The fourth proportional to 7,061.31, 9,744.24 and 4,078.08 is: 5,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.31 : 9,744.24 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    7,061.31/9,744.24 = 4,078.08/x
  3. Step 3: Cross multiply
    7,061.31x = 9,744.24 × 4,078.08
  4. Step 4: Simplify right side
    7,061.31x = 39,737,790.26
  5. Step 5: Solve for x
    x = 39,737,790.26/7,061.31
  6. Step 6: Final answer
    x = 5,627.54

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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.