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Finding the Fourth Proportional to 7,178.63, 9,906.71 and 4,035.83

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Solution

The fourth proportional to 7,178.63, 9,906.71 and 4,035.83 is: 5,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.63 : 9,906.71 = 4,035.83 : x
  2. Step 2: Convert to fraction form
    7,178.63/9,906.71 = 4,035.83/x
  3. Step 3: Cross multiply
    7,178.63x = 9,906.71 × 4,035.83
  4. Step 4: Simplify right side
    7,178.63x = 39,981,727.71
  5. Step 5: Solve for x
    x = 39,981,727.71/7,178.63
  6. Step 6: Final answer
    x = 5,569.55

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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.