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Finding the Fourth Proportional to 6,690.84, 10,036.02 and 3,182.54

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Solution

The fourth proportional to 6,690.84, 10,036.02 and 3,182.54 is: 4,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.84 : 10,036.02 = 3,182.54 : x
  2. Step 2: Convert to fraction form
    6,690.84/10,036.02 = 3,182.54/x
  3. Step 3: Cross multiply
    6,690.84x = 10,036.02 × 3,182.54
  4. Step 4: Simplify right side
    6,690.84x = 31,940,035.09
  5. Step 5: Solve for x
    x = 31,940,035.09/6,690.84
  6. Step 6: Final answer
    x = 4,773.70

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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.