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Finding the Fourth Proportional to 7,214.42, 10,801.70 and 3,696.86

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Solution

The fourth proportional to 7,214.42, 10,801.70 and 3,696.86 is: 5,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.42 : 10,801.70 = 3,696.86 : x
  2. Step 2: Convert to fraction form
    7,214.42/10,801.70 = 3,696.86/x
  3. Step 3: Cross multiply
    7,214.42x = 10,801.70 × 3,696.86
  4. Step 4: Simplify right side
    7,214.42x = 39,932,327.90
  5. Step 5: Solve for x
    x = 39,932,327.90/7,214.42
  6. Step 6: Final answer
    x = 5,535.07

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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.