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Finding the Fourth Proportional to 27,846.61, 41,756.09 and 8,868.77

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Solution

The fourth proportional to 27,846.61, 41,756.09 and 8,868.77 is: 13,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.61 : 41,756.09 = 8,868.77 : x
  2. Step 2: Convert to fraction form
    27,846.61/41,756.09 = 8,868.77/x
  3. Step 3: Cross multiply
    27,846.61x = 41,756.09 × 8,868.77
  4. Step 4: Simplify right side
    27,846.61x = 370,325,158.31
  5. Step 5: Solve for x
    x = 370,325,158.31/27,846.61
  6. Step 6: Final answer
    x = 13,298.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.