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Finding the Fourth Proportional to 7,688.97, 11,524.05 and 4,348.94

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Solution

The fourth proportional to 7,688.97, 11,524.05 and 4,348.94 is: 6,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.97 : 11,524.05 = 4,348.94 : x
  2. Step 2: Convert to fraction form
    7,688.97/11,524.05 = 4,348.94/x
  3. Step 3: Cross multiply
    7,688.97x = 11,524.05 × 4,348.94
  4. Step 4: Simplify right side
    7,688.97x = 50,117,344.39
  5. Step 5: Solve for x
    x = 50,117,344.39/7,688.97
  6. Step 6: Final answer
    x = 6,518.08

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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.