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Finding the Fourth Proportional to 7,149.33, 9,856.35 and 5,359.50

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Solution

The fourth proportional to 7,149.33, 9,856.35 and 5,359.50 is: 7,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.33 : 9,856.35 = 5,359.50 : x
  2. Step 2: Convert to fraction form
    7,149.33/9,856.35 = 5,359.50/x
  3. Step 3: Cross multiply
    7,149.33x = 9,856.35 × 5,359.50
  4. Step 4: Simplify right side
    7,149.33x = 52,825,107.83
  5. Step 5: Solve for x
    x = 52,825,107.83/7,149.33
  6. Step 6: Final answer
    x = 7,388.82

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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.