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Finding the Fourth Proportional to 7,151.60, 10,717.53 and 5,161.36

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Solution

The fourth proportional to 7,151.60, 10,717.53 and 5,161.36 is: 7,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.60 : 10,717.53 = 5,161.36 : x
  2. Step 2: Convert to fraction form
    7,151.60/10,717.53 = 5,161.36/x
  3. Step 3: Cross multiply
    7,151.60x = 10,717.53 × 5,161.36
  4. Step 4: Simplify right side
    7,151.60x = 55,317,024.68
  5. Step 5: Solve for x
    x = 55,317,024.68/7,151.60
  6. Step 6: Final answer
    x = 7,734.92

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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.