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Finding the Fourth Proportional to 7,902.35, 10,906.51 and 4,715.81

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Solution

The fourth proportional to 7,902.35, 10,906.51 and 4,715.81 is: 6,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.35 : 10,906.51 = 4,715.81 : x
  2. Step 2: Convert to fraction form
    7,902.35/10,906.51 = 4,715.81/x
  3. Step 3: Cross multiply
    7,902.35x = 10,906.51 × 4,715.81
  4. Step 4: Simplify right side
    7,902.35x = 51,433,028.92
  5. Step 5: Solve for x
    x = 51,433,028.92/7,902.35
  6. Step 6: Final answer
    x = 6,508.57

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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.