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Finding the Fourth Proportional to 10,076.38, 13,897.86 and 6,092.40

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Solution

The fourth proportional to 10,076.38, 13,897.86 and 6,092.40 is: 8,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.38 : 13,897.86 = 6,092.40 : x
  2. Step 2: Convert to fraction form
    10,076.38/13,897.86 = 6,092.40/x
  3. Step 3: Cross multiply
    10,076.38x = 13,897.86 × 6,092.40
  4. Step 4: Simplify right side
    10,076.38x = 84,671,252.77
  5. Step 5: Solve for x
    x = 84,671,252.77/10,076.38
  6. Step 6: Final answer
    x = 8,402.94

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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.