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Finding the Fourth Proportional to 7,657.64, 11,472.85 and 3,205.50

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Solution

The fourth proportional to 7,657.64, 11,472.85 and 3,205.50 is: 4,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.64 : 11,472.85 = 3,205.50 : x
  2. Step 2: Convert to fraction form
    7,657.64/11,472.85 = 3,205.50/x
  3. Step 3: Cross multiply
    7,657.64x = 11,472.85 × 3,205.50
  4. Step 4: Simplify right side
    7,657.64x = 36,776,220.68
  5. Step 5: Solve for x
    x = 36,776,220.68/7,657.64
  6. Step 6: Final answer
    x = 4,802.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.