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Finding the Fourth Proportional to 8,827.71, 12,184.34 and 5,053.05

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Solution

The fourth proportional to 8,827.71, 12,184.34 and 5,053.05 is: 6,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.71 : 12,184.34 = 5,053.05 : x
  2. Step 2: Convert to fraction form
    8,827.71/12,184.34 = 5,053.05/x
  3. Step 3: Cross multiply
    8,827.71x = 12,184.34 × 5,053.05
  4. Step 4: Simplify right side
    8,827.71x = 61,568,079.24
  5. Step 5: Solve for x
    x = 61,568,079.24/8,827.71
  6. Step 6: Final answer
    x = 6,974.41

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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.