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Finding the Fourth Proportional to 11,595.92, 16,010.44 and 8,938.96

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Solution

The fourth proportional to 11,595.92, 16,010.44 and 8,938.96 is: 12,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.92 : 16,010.44 = 8,938.96 : x
  2. Step 2: Convert to fraction form
    11,595.92/16,010.44 = 8,938.96/x
  3. Step 3: Cross multiply
    11,595.92x = 16,010.44 × 8,938.96
  4. Step 4: Simplify right side
    11,595.92x = 143,116,682.74
  5. Step 5: Solve for x
    x = 143,116,682.74/11,595.92
  6. Step 6: Final answer
    x = 12,341.99

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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.