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Finding the Fourth Proportional to 11,047.92, 16,569.44 and 3,254.91

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Solution

The fourth proportional to 11,047.92, 16,569.44 and 3,254.91 is: 4,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.92 : 16,569.44 = 3,254.91 : x
  2. Step 2: Convert to fraction form
    11,047.92/16,569.44 = 3,254.91/x
  3. Step 3: Cross multiply
    11,047.92x = 16,569.44 × 3,254.91
  4. Step 4: Simplify right side
    11,047.92x = 53,932,035.95
  5. Step 5: Solve for x
    x = 53,932,035.95/11,047.92
  6. Step 6: Final answer
    x = 4,881.65

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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.