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Finding the Fourth Proportional to 10,672.32, 16,004.16 and 4,512

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Solution

The fourth proportional to 10,672.32, 16,004.16 and 4,512 is: 6,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.32 : 16,004.16 = 4,512 : x
  2. Step 2: Convert to fraction form
    10,672.32/16,004.16 = 4,512/x
  3. Step 3: Cross multiply
    10,672.32x = 16,004.16 × 4,512
  4. Step 4: Simplify right side
    10,672.32x = 72,210,769.92
  5. Step 5: Solve for x
    x = 72,210,769.92/10,672.32
  6. Step 6: Final answer
    x = 6,766.17

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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.