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Finding the Fourth Proportional to 10,894.78, 16,347.30 and 5,353.30

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Solution

The fourth proportional to 10,894.78, 16,347.30 and 5,353.30 is: 8,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.78 : 16,347.30 = 5,353.30 : x
  2. Step 2: Convert to fraction form
    10,894.78/16,347.30 = 5,353.30/x
  3. Step 3: Cross multiply
    10,894.78x = 16,347.30 × 5,353.30
  4. Step 4: Simplify right side
    10,894.78x = 87,512,001.09
  5. Step 5: Solve for x
    x = 87,512,001.09/10,894.78
  6. Step 6: Final answer
    x = 8,032.47

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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.