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Finding the Fourth Proportional to 10,864.32, 16,296.52 and 2,656.32

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Solution

The fourth proportional to 10,864.32, 16,296.52 and 2,656.32 is: 3,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.32 : 16,296.52 = 2,656.32 : x
  2. Step 2: Convert to fraction form
    10,864.32/16,296.52 = 2,656.32/x
  3. Step 3: Cross multiply
    10,864.32x = 16,296.52 × 2,656.32
  4. Step 4: Simplify right side
    10,864.32x = 43,288,772.01
  5. Step 5: Solve for x
    x = 43,288,772.01/10,864.32
  6. Step 6: Final answer
    x = 3,984.49

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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.