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Finding the Fourth Proportional to 10,856.88, 16,272.84 and 4,607.64

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Solution

The fourth proportional to 10,856.88, 16,272.84 and 4,607.64 is: 6,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.88 : 16,272.84 = 4,607.64 : x
  2. Step 2: Convert to fraction form
    10,856.88/16,272.84 = 4,607.64/x
  3. Step 3: Cross multiply
    10,856.88x = 16,272.84 × 4,607.64
  4. Step 4: Simplify right side
    10,856.88x = 74,979,388.50
  5. Step 5: Solve for x
    x = 74,979,388.50/10,856.88
  6. Step 6: Final answer
    x = 6,906.16

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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.