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Finding the Fourth Proportional to 7,756.29, 11,632.71 and 2,209.53

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Solution

The fourth proportional to 7,756.29, 11,632.71 and 2,209.53 is: 3,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.29 : 11,632.71 = 2,209.53 : x
  2. Step 2: Convert to fraction form
    7,756.29/11,632.71 = 2,209.53/x
  3. Step 3: Cross multiply
    7,756.29x = 11,632.71 × 2,209.53
  4. Step 4: Simplify right side
    7,756.29x = 25,702,821.73
  5. Step 5: Solve for x
    x = 25,702,821.73/7,756.29
  6. Step 6: Final answer
    x = 3,313.80

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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.