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Finding the Fourth Proportional to 6,783.66, 10,182.06 and 3,276.14

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Solution

The fourth proportional to 6,783.66, 10,182.06 and 3,276.14 is: 4,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.66 : 10,182.06 = 3,276.14 : x
  2. Step 2: Convert to fraction form
    6,783.66/10,182.06 = 3,276.14/x
  3. Step 3: Cross multiply
    6,783.66x = 10,182.06 × 3,276.14
  4. Step 4: Simplify right side
    6,783.66x = 33,357,803.14
  5. Step 5: Solve for x
    x = 33,357,803.14/6,783.66
  6. Step 6: Final answer
    x = 4,917.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.