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Finding the Fourth Proportional to 11,452.02, 15,801.36 and 6,734.58

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Solution

The fourth proportional to 11,452.02, 15,801.36 and 6,734.58 is: 9,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.02 : 15,801.36 = 6,734.58 : x
  2. Step 2: Convert to fraction form
    11,452.02/15,801.36 = 6,734.58/x
  3. Step 3: Cross multiply
    11,452.02x = 15,801.36 × 6,734.58
  4. Step 4: Simplify right side
    11,452.02x = 106,415,523.03
  5. Step 5: Solve for x
    x = 106,415,523.03/11,452.02
  6. Step 6: Final answer
    x = 9,292.29

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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.