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Finding the Fourth Proportional to 10,181.84, 15,272.96 and 4,631.31

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Solution

The fourth proportional to 10,181.84, 15,272.96 and 4,631.31 is: 6,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.84 : 15,272.96 = 4,631.31 : x
  2. Step 2: Convert to fraction form
    10,181.84/15,272.96 = 4,631.31/x
  3. Step 3: Cross multiply
    10,181.84x = 15,272.96 × 4,631.31
  4. Step 4: Simplify right side
    10,181.84x = 70,733,789.22
  5. Step 5: Solve for x
    x = 70,733,789.22/10,181.84
  6. Step 6: Final answer
    x = 6,947.06

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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.