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Finding the Fourth Proportional to 11,267.76, 16,901.64 and 2,947.08

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Solution

The fourth proportional to 11,267.76, 16,901.64 and 2,947.08 is: 4,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.76 : 16,901.64 = 2,947.08 : x
  2. Step 2: Convert to fraction form
    11,267.76/16,901.64 = 2,947.08/x
  3. Step 3: Cross multiply
    11,267.76x = 16,901.64 × 2,947.08
  4. Step 4: Simplify right side
    11,267.76x = 49,810,485.21
  5. Step 5: Solve for x
    x = 49,810,485.21/11,267.76
  6. Step 6: Final answer
    x = 4,420.62

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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.