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Finding the Fourth Proportional to 6,535.16, 9,789.98 and 5,221.60

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Solution

The fourth proportional to 6,535.16, 9,789.98 and 5,221.60 is: 7,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.16 : 9,789.98 = 5,221.60 : x
  2. Step 2: Convert to fraction form
    6,535.16/9,789.98 = 5,221.60/x
  3. Step 3: Cross multiply
    6,535.16x = 9,789.98 × 5,221.60
  4. Step 4: Simplify right side
    6,535.16x = 51,119,359.57
  5. Step 5: Solve for x
    x = 51,119,359.57/6,535.16
  6. Step 6: Final answer
    x = 7,822.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.