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Finding the Fourth Proportional to 8,285.79, 11,434.38 and 4,559.79

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Solution

The fourth proportional to 8,285.79, 11,434.38 and 4,559.79 is: 6,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.79 : 11,434.38 = 4,559.79 : x
  2. Step 2: Convert to fraction form
    8,285.79/11,434.38 = 4,559.79/x
  3. Step 3: Cross multiply
    8,285.79x = 11,434.38 × 4,559.79
  4. Step 4: Simplify right side
    8,285.79x = 52,138,314.41
  5. Step 5: Solve for x
    x = 52,138,314.41/8,285.79
  6. Step 6: Final answer
    x = 6,292.50

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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.