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Finding the Fourth Proportional to 10,549.81, 14,558.32 and 5,834.09

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Solution

The fourth proportional to 10,549.81, 14,558.32 and 5,834.09 is: 8,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.81 : 14,558.32 = 5,834.09 : x
  2. Step 2: Convert to fraction form
    10,549.81/14,558.32 = 5,834.09/x
  3. Step 3: Cross multiply
    10,549.81x = 14,558.32 × 5,834.09
  4. Step 4: Simplify right side
    10,549.81x = 84,934,549.13
  5. Step 5: Solve for x
    x = 84,934,549.13/10,549.81
  6. Step 6: Final answer
    x = 8,050.81

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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.