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Finding the Fourth Proportional to 7,575.36, 11,343.72 and 6,339.64

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Solution

The fourth proportional to 7,575.36, 11,343.72 and 6,339.64 is: 9,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.36 : 11,343.72 = 6,339.64 : x
  2. Step 2: Convert to fraction form
    7,575.36/11,343.72 = 6,339.64/x
  3. Step 3: Cross multiply
    7,575.36x = 11,343.72 × 6,339.64
  4. Step 4: Simplify right side
    7,575.36x = 71,915,101.06
  5. Step 5: Solve for x
    x = 71,915,101.06/7,575.36
  6. Step 6: Final answer
    x = 9,493.29

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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.