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Finding the Fourth Proportional to 7,752.94, 11,627.62 and 2,206.15

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Solution

The fourth proportional to 7,752.94, 11,627.62 and 2,206.15 is: 3,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.94 : 11,627.62 = 2,206.15 : x
  2. Step 2: Convert to fraction form
    7,752.94/11,627.62 = 2,206.15/x
  3. Step 3: Cross multiply
    7,752.94x = 11,627.62 × 2,206.15
  4. Step 4: Simplify right side
    7,752.94x = 25,652,239.28
  5. Step 5: Solve for x
    x = 25,652,239.28/7,752.94
  6. Step 6: Final answer
    x = 3,308.71

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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.