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Finding the Fourth Proportional to 7,744.75, 11,617.13 and 4,282

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Solution

The fourth proportional to 7,744.75, 11,617.13 and 4,282 is: 6,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.75 : 11,617.13 = 4,282 : x
  2. Step 2: Convert to fraction form
    7,744.75/11,617.13 = 4,282/x
  3. Step 3: Cross multiply
    7,744.75x = 11,617.13 × 4,282
  4. Step 4: Simplify right side
    7,744.75x = 49,744,550.66
  5. Step 5: Solve for x
    x = 49,744,550.66/7,744.75
  6. Step 6: Final answer
    x = 6,423.00

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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.