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Finding the Fourth Proportional to 8,530.71, 11,773.06 and 4,755.09

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Solution

The fourth proportional to 8,530.71, 11,773.06 and 4,755.09 is: 6,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.71 : 11,773.06 = 4,755.09 : x
  2. Step 2: Convert to fraction form
    8,530.71/11,773.06 = 4,755.09/x
  3. Step 3: Cross multiply
    8,530.71x = 11,773.06 × 4,755.09
  4. Step 4: Simplify right side
    8,530.71x = 55,981,959.88
  5. Step 5: Solve for x
    x = 55,981,959.88/8,530.71
  6. Step 6: Final answer
    x = 6,562.40

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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.