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Finding the Fourth Proportional to 7,597.20, 11,397 and 3,214.68

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Solution

The fourth proportional to 7,597.20, 11,397 and 3,214.68 is: 4,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.20 : 11,397 = 3,214.68 : x
  2. Step 2: Convert to fraction form
    7,597.20/11,397 = 3,214.68/x
  3. Step 3: Cross multiply
    7,597.20x = 11,397 × 3,214.68
  4. Step 4: Simplify right side
    7,597.20x = 36,637,707.96
  5. Step 5: Solve for x
    x = 36,637,707.96/7,597.20
  6. Step 6: Final answer
    x = 4,822.53

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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.