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Finding the Fourth Proportional to 7,597.12, 11,401.77 and 3,217.63

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Solution

The fourth proportional to 7,597.12, 11,401.77 and 3,217.63 is: 4,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.12 : 11,401.77 = 3,217.63 : x
  2. Step 2: Convert to fraction form
    7,597.12/11,401.77 = 3,217.63/x
  3. Step 3: Cross multiply
    7,597.12x = 11,401.77 × 3,217.63
  4. Step 4: Simplify right side
    7,597.12x = 36,686,677.21
  5. Step 5: Solve for x
    x = 36,686,677.21/7,597.12
  6. Step 6: Final answer
    x = 4,829.02

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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.