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Finding the Fourth Proportional to 8,230.19, 11,359.37 and 7,565.99

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Solution

The fourth proportional to 8,230.19, 11,359.37 and 7,565.99 is: 10,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.19 : 11,359.37 = 7,565.99 : x
  2. Step 2: Convert to fraction form
    8,230.19/11,359.37 = 7,565.99/x
  3. Step 3: Cross multiply
    8,230.19x = 11,359.37 × 7,565.99
  4. Step 4: Simplify right side
    8,230.19x = 85,944,841.94
  5. Step 5: Solve for x
    x = 85,944,841.94/8,230.19
  6. Step 6: Final answer
    x = 10,442.64

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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.