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Finding the Fourth Proportional to 10,092, 13,927.41 and 8,410.60

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Solution

The fourth proportional to 10,092, 13,927.41 and 8,410.60 is: 11,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092 : 13,927.41 = 8,410.60 : x
  2. Step 2: Convert to fraction form
    10,092/13,927.41 = 8,410.60/x
  3. Step 3: Cross multiply
    10,092x = 13,927.41 × 8,410.60
  4. Step 4: Simplify right side
    10,092x = 117,137,874.55
  5. Step 5: Solve for x
    x = 117,137,874.55/10,092
  6. Step 6: Final answer
    x = 11,607.00

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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.