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Finding the Fourth Proportional to 8,813.49, 12,161.10 and 5,827.71

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Solution

The fourth proportional to 8,813.49, 12,161.10 and 5,827.71 is: 8,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.49 : 12,161.10 = 5,827.71 : x
  2. Step 2: Convert to fraction form
    8,813.49/12,161.10 = 5,827.71/x
  3. Step 3: Cross multiply
    8,813.49x = 12,161.10 × 5,827.71
  4. Step 4: Simplify right side
    8,813.49x = 70,871,364.08
  5. Step 5: Solve for x
    x = 70,871,364.08/8,813.49
  6. Step 6: Final answer
    x = 8,041.24

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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.