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Finding the Fourth Proportional to 7,767.64, 11,650.65 and 2,220.63

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Solution

The fourth proportional to 7,767.64, 11,650.65 and 2,220.63 is: 3,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.64 : 11,650.65 = 2,220.63 : x
  2. Step 2: Convert to fraction form
    7,767.64/11,650.65 = 2,220.63/x
  3. Step 3: Cross multiply
    7,767.64x = 11,650.65 × 2,220.63
  4. Step 4: Simplify right side
    7,767.64x = 25,871,782.91
  5. Step 5: Solve for x
    x = 25,871,782.91/7,767.64
  6. Step 6: Final answer
    x = 3,330.71

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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.