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Finding the Fourth Proportional to 11,364.89, 16,954.10 and 10,569.47

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Solution

The fourth proportional to 11,364.89, 16,954.10 and 10,569.47 is: 15,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.89 : 16,954.10 = 10,569.47 : x
  2. Step 2: Convert to fraction form
    11,364.89/16,954.10 = 10,569.47/x
  3. Step 3: Cross multiply
    11,364.89x = 16,954.10 × 10,569.47
  4. Step 4: Simplify right side
    11,364.89x = 179,195,753.34
  5. Step 5: Solve for x
    x = 179,195,753.34/11,364.89
  6. Step 6: Final answer
    x = 15,767.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.