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Finding the Fourth Proportional to 10,923.34, 16,385.34 and 3,427.66

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Solution

The fourth proportional to 10,923.34, 16,385.34 and 3,427.66 is: 5,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.34 : 16,385.34 = 3,427.66 : x
  2. Step 2: Convert to fraction form
    10,923.34/16,385.34 = 3,427.66/x
  3. Step 3: Cross multiply
    10,923.34x = 16,385.34 × 3,427.66
  4. Step 4: Simplify right side
    10,923.34x = 56,163,374.50
  5. Step 5: Solve for x
    x = 56,163,374.50/10,923.34
  6. Step 6: Final answer
    x = 5,141.59

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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.