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Finding the Fourth Proportional to 7,233.60, 10,864.96 and 7,029.44

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Solution

The fourth proportional to 7,233.60, 10,864.96 and 7,029.44 is: 10,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.60 : 10,864.96 = 7,029.44 : x
  2. Step 2: Convert to fraction form
    7,233.60/10,864.96 = 7,029.44/x
  3. Step 3: Cross multiply
    7,233.60x = 10,864.96 × 7,029.44
  4. Step 4: Simplify right side
    7,233.60x = 76,374,584.42
  5. Step 5: Solve for x
    x = 76,374,584.42/7,233.60
  6. Step 6: Final answer
    x = 10,558.31

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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.