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Finding the Fourth Proportional to 11,657.85, 16,083.01 and 8,123.11

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Solution

The fourth proportional to 11,657.85, 16,083.01 and 8,123.11 is: 11,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.85 : 16,083.01 = 8,123.11 : x
  2. Step 2: Convert to fraction form
    11,657.85/16,083.01 = 8,123.11/x
  3. Step 3: Cross multiply
    11,657.85x = 16,083.01 × 8,123.11
  4. Step 4: Simplify right side
    11,657.85x = 130,644,059.36
  5. Step 5: Solve for x
    x = 130,644,059.36/11,657.85
  6. Step 6: Final answer
    x = 11,206.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.