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Finding the Fourth Proportional to 8,365.24, 11,537.90 and 6,009.80

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Solution

The fourth proportional to 8,365.24, 11,537.90 and 6,009.80 is: 8,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.24 : 11,537.90 = 6,009.80 : x
  2. Step 2: Convert to fraction form
    8,365.24/11,537.90 = 6,009.80/x
  3. Step 3: Cross multiply
    8,365.24x = 11,537.90 × 6,009.80
  4. Step 4: Simplify right side
    8,365.24x = 69,340,471.42
  5. Step 5: Solve for x
    x = 69,340,471.42/8,365.24
  6. Step 6: Final answer
    x = 8,289.12

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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.