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Finding the Fourth Proportional to 7,597.33, 11,397.20 and 3,214.82

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Solution

The fourth proportional to 7,597.33, 11,397.20 and 3,214.82 is: 4,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.33 : 11,397.20 = 3,214.82 : x
  2. Step 2: Convert to fraction form
    7,597.33/11,397.20 = 3,214.82/x
  3. Step 3: Cross multiply
    7,597.33x = 11,397.20 × 3,214.82
  4. Step 4: Simplify right side
    7,597.33x = 36,639,983.03
  5. Step 5: Solve for x
    x = 36,639,983.03/7,597.33
  6. Step 6: Final answer
    x = 4,822.75

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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.