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Finding the Fourth Proportional to 10,092.13, 13,926.13 and 6,113.00

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Solution

The fourth proportional to 10,092.13, 13,926.13 and 6,113.00 is: 8,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.13 : 13,926.13 = 6,113.00 : x
  2. Step 2: Convert to fraction form
    10,092.13/13,926.13 = 6,113.00/x
  3. Step 3: Cross multiply
    10,092.13x = 13,926.13 × 6,113.00
  4. Step 4: Simplify right side
    10,092.13x = 85,130,452.22
  5. Step 5: Solve for x
    x = 85,130,452.22/10,092.13
  6. Step 6: Final answer
    x = 8,435.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.