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Finding the Fourth Proportional to 8,643, 11,927.66 and 4,917.56

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Solution

The fourth proportional to 8,643, 11,927.66 and 4,917.56 is: 6,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 11,927.66 = 4,917.56 : x
  2. Step 2: Convert to fraction form
    8,643/11,927.66 = 4,917.56/x
  3. Step 3: Cross multiply
    8,643x = 11,927.66 × 4,917.56
  4. Step 4: Simplify right side
    8,643x = 58,654,983.71
  5. Step 5: Solve for x
    x = 58,654,983.71/8,643
  6. Step 6: Final answer
    x = 6,786.41

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