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Finding the Fourth Proportional to 7,827.11, 10,811.76 and 5,834.21

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Solution

The fourth proportional to 7,827.11, 10,811.76 and 5,834.21 is: 8,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.11 : 10,811.76 = 5,834.21 : x
  2. Step 2: Convert to fraction form
    7,827.11/10,811.76 = 5,834.21/x
  3. Step 3: Cross multiply
    7,827.11x = 10,811.76 × 5,834.21
  4. Step 4: Simplify right side
    7,827.11x = 63,078,035.19
  5. Step 5: Solve for x
    x = 63,078,035.19/7,827.11
  6. Step 6: Final answer
    x = 8,058.92

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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.