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Finding the Fourth Proportional to 10,550.81, 14,559.86 and 5,834.99

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Solution

The fourth proportional to 10,550.81, 14,559.86 and 5,834.99 is: 8,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.81 : 14,559.86 = 5,834.99 : x
  2. Step 2: Convert to fraction form
    10,550.81/14,559.86 = 5,834.99/x
  3. Step 3: Cross multiply
    10,550.81x = 14,559.86 × 5,834.99
  4. Step 4: Simplify right side
    10,550.81x = 84,956,579.29
  5. Step 5: Solve for x
    x = 84,956,579.29/10,550.81
  6. Step 6: Final answer
    x = 8,052.14

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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.