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Finding the Fourth Proportional to 8,487, 11,713.14 and 4,761

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Solution

The fourth proportional to 8,487, 11,713.14 and 4,761 is: 6,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487 : 11,713.14 = 4,761 : x
  2. Step 2: Convert to fraction form
    8,487/11,713.14 = 4,761/x
  3. Step 3: Cross multiply
    8,487x = 11,713.14 × 4,761
  4. Step 4: Simplify right side
    8,487x = 55,766,259.54
  5. Step 5: Solve for x
    x = 55,766,259.54/8,487
  6. Step 6: Final answer
    x = 6,570.79

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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.