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Finding the Fourth Proportional to 10,894.12, 15,035.34 and 7,919.80

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Solution

The fourth proportional to 10,894.12, 15,035.34 and 7,919.80 is: 10,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.12 : 15,035.34 = 7,919.80 : x
  2. Step 2: Convert to fraction form
    10,894.12/15,035.34 = 7,919.80/x
  3. Step 3: Cross multiply
    10,894.12x = 15,035.34 × 7,919.80
  4. Step 4: Simplify right side
    10,894.12x = 119,076,885.73
  5. Step 5: Solve for x
    x = 119,076,885.73/10,894.12
  6. Step 6: Final answer
    x = 10,930.38

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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.