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Finding the Fourth Proportional to 8,582.81, 11,849.63 and 6,589.40

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Solution

The fourth proportional to 8,582.81, 11,849.63 and 6,589.40 is: 9,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.81 : 11,849.63 = 6,589.40 : x
  2. Step 2: Convert to fraction form
    8,582.81/11,849.63 = 6,589.40/x
  3. Step 3: Cross multiply
    8,582.81x = 11,849.63 × 6,589.40
  4. Step 4: Simplify right side
    8,582.81x = 78,081,859.73
  5. Step 5: Solve for x
    x = 78,081,859.73/8,582.81
  6. Step 6: Final answer
    x = 9,097.48

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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.