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Finding the Fourth Proportional to 7,671.32, 11,528.88 and 3,778.48

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Solution

The fourth proportional to 7,671.32, 11,528.88 and 3,778.48 is: 5,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.32 : 11,528.88 = 3,778.48 : x
  2. Step 2: Convert to fraction form
    7,671.32/11,528.88 = 3,778.48/x
  3. Step 3: Cross multiply
    7,671.32x = 11,528.88 × 3,778.48
  4. Step 4: Simplify right side
    7,671.32x = 43,561,642.50
  5. Step 5: Solve for x
    x = 43,561,642.50/7,671.32
  6. Step 6: Final answer
    x = 5,678.51

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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.