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Finding the Fourth Proportional to 11,298.50, 16,947.67 and 3,400.98

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Solution

The fourth proportional to 11,298.50, 16,947.67 and 3,400.98 is: 5,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.50 : 16,947.67 = 3,400.98 : x
  2. Step 2: Convert to fraction form
    11,298.50/16,947.67 = 3,400.98/x
  3. Step 3: Cross multiply
    11,298.50x = 16,947.67 × 3,400.98
  4. Step 4: Simplify right side
    11,298.50x = 57,638,686.72
  5. Step 5: Solve for x
    x = 57,638,686.72/11,298.50
  6. Step 6: Final answer
    x = 5,101.45

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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.