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Finding the Fourth Proportional to 10,181.84, 15,272.52 and 3,256.40

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Solution

The fourth proportional to 10,181.84, 15,272.52 and 3,256.40 is: 4,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.84 : 15,272.52 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    10,181.84/15,272.52 = 3,256.40/x
  3. Step 3: Cross multiply
    10,181.84x = 15,272.52 × 3,256.40
  4. Step 4: Simplify right side
    10,181.84x = 49,733,434.13
  5. Step 5: Solve for x
    x = 49,733,434.13/10,181.84
  6. Step 6: Final answer
    x = 4,884.52

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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.