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Finding the Fourth Proportional to 7,277.84, 10,906.33 and 4,151.38

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Solution

The fourth proportional to 7,277.84, 10,906.33 and 4,151.38 is: 6,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.84 : 10,906.33 = 4,151.38 : x
  2. Step 2: Convert to fraction form
    7,277.84/10,906.33 = 4,151.38/x
  3. Step 3: Cross multiply
    7,277.84x = 10,906.33 × 4,151.38
  4. Step 4: Simplify right side
    7,277.84x = 45,276,320.24
  5. Step 5: Solve for x
    x = 45,276,320.24/7,277.84
  6. Step 6: Final answer
    x = 6,221.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.