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Finding the Fourth Proportional to 7,364.52, 10,166.80 and 5,682.14

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Solution

The fourth proportional to 7,364.52, 10,166.80 and 5,682.14 is: 7,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.52 : 10,166.80 = 5,682.14 : x
  2. Step 2: Convert to fraction form
    7,364.52/10,166.80 = 5,682.14/x
  3. Step 3: Cross multiply
    7,364.52x = 10,166.80 × 5,682.14
  4. Step 4: Simplify right side
    7,364.52x = 57,769,180.95
  5. Step 5: Solve for x
    x = 57,769,180.95/7,364.52
  6. Step 6: Final answer
    x = 7,844.26

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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.