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Finding the Fourth Proportional to 10,906.36, 15,035.66 and 7,363.96

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Solution

The fourth proportional to 10,906.36, 15,035.66 and 7,363.96 is: 10,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.36 : 15,035.66 = 7,363.96 : x
  2. Step 2: Convert to fraction form
    10,906.36/15,035.66 = 7,363.96/x
  3. Step 3: Cross multiply
    10,906.36x = 15,035.66 × 7,363.96
  4. Step 4: Simplify right side
    10,906.36x = 110,721,998.81
  5. Step 5: Solve for x
    x = 110,721,998.81/10,906.36
  6. Step 6: Final answer
    x = 10,152.06

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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.