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Finding the Fourth Proportional to 7,752.40, 11,627.70 and 2,206.60

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Solution

The fourth proportional to 7,752.40, 11,627.70 and 2,206.60 is: 3,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.40 : 11,627.70 = 2,206.60 : x
  2. Step 2: Convert to fraction form
    7,752.40/11,627.70 = 2,206.60/x
  3. Step 3: Cross multiply
    7,752.40x = 11,627.70 × 2,206.60
  4. Step 4: Simplify right side
    7,752.40x = 25,657,682.82
  5. Step 5: Solve for x
    x = 25,657,682.82/7,752.40
  6. Step 6: Final answer
    x = 3,309.64

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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.