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Finding the Fourth Proportional to 10,901.68, 16,334.04 and 6,731.32

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Solution

The fourth proportional to 10,901.68, 16,334.04 and 6,731.32 is: 10,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.68 : 16,334.04 = 6,731.32 : x
  2. Step 2: Convert to fraction form
    10,901.68/16,334.04 = 6,731.32/x
  3. Step 3: Cross multiply
    10,901.68x = 16,334.04 × 6,731.32
  4. Step 4: Simplify right side
    10,901.68x = 109,949,650.13
  5. Step 5: Solve for x
    x = 109,949,650.13/10,901.68
  6. Step 6: Final answer
    x = 10,085.57

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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.