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Finding the Fourth Proportional to 8,305.12, 11,460.84 and 4,528.39

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Solution

The fourth proportional to 8,305.12, 11,460.84 and 4,528.39 is: 6,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.12 : 11,460.84 = 4,528.39 : x
  2. Step 2: Convert to fraction form
    8,305.12/11,460.84 = 4,528.39/x
  3. Step 3: Cross multiply
    8,305.12x = 11,460.84 × 4,528.39
  4. Step 4: Simplify right side
    8,305.12x = 51,899,153.25
  5. Step 5: Solve for x
    x = 51,899,153.25/8,305.12
  6. Step 6: Final answer
    x = 6,249.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.