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Finding the Fourth Proportional to 8,101.72, 12,152.64 and 2,907.64

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Solution

The fourth proportional to 8,101.72, 12,152.64 and 2,907.64 is: 4,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.72 : 12,152.64 = 2,907.64 : x
  2. Step 2: Convert to fraction form
    8,101.72/12,152.64 = 2,907.64/x
  3. Step 3: Cross multiply
    8,101.72x = 12,152.64 × 2,907.64
  4. Step 4: Simplify right side
    8,101.72x = 35,335,502.17
  5. Step 5: Solve for x
    x = 35,335,502.17/8,101.72
  6. Step 6: Final answer
    x = 4,361.48

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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.