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Finding the Fourth Proportional to 7,597.62, 11,402.51 and 3,218.13

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Solution

The fourth proportional to 7,597.62, 11,402.51 and 3,218.13 is: 4,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.62 : 11,402.51 = 3,218.13 : x
  2. Step 2: Convert to fraction form
    7,597.62/11,402.51 = 3,218.13/x
  3. Step 3: Cross multiply
    7,597.62x = 11,402.51 × 3,218.13
  4. Step 4: Simplify right side
    7,597.62x = 36,694,743.42
  5. Step 5: Solve for x
    x = 36,694,743.42/7,597.62
  6. Step 6: Final answer
    x = 4,829.77

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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.