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Finding the Fourth Proportional to 11,041.52, 16,563.08 and 4,116

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Solution

The fourth proportional to 11,041.52, 16,563.08 and 4,116 is: 6,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.52 : 16,563.08 = 4,116 : x
  2. Step 2: Convert to fraction form
    11,041.52/16,563.08 = 4,116/x
  3. Step 3: Cross multiply
    11,041.52x = 16,563.08 × 4,116
  4. Step 4: Simplify right side
    11,041.52x = 68,173,637.28
  5. Step 5: Solve for x
    x = 68,173,637.28/11,041.52
  6. Step 6: Final answer
    x = 6,174.30

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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.