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Finding the Fourth Proportional to 10,079.13, 13,906.93 and 6,099.40

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Solution

The fourth proportional to 10,079.13, 13,906.93 and 6,099.40 is: 8,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.13 : 13,906.93 = 6,099.40 : x
  2. Step 2: Convert to fraction form
    10,079.13/13,906.93 = 6,099.40/x
  3. Step 3: Cross multiply
    10,079.13x = 13,906.93 × 6,099.40
  4. Step 4: Simplify right side
    10,079.13x = 84,823,894.07
  5. Step 5: Solve for x
    x = 84,823,894.07/10,079.13
  6. Step 6: Final answer
    x = 8,415.80

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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.