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Finding the Fourth Proportional to 10,181.04, 15,272.16 and 3,255

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Solution

The fourth proportional to 10,181.04, 15,272.16 and 3,255 is: 4,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.04 : 15,272.16 = 3,255 : x
  2. Step 2: Convert to fraction form
    10,181.04/15,272.16 = 3,255/x
  3. Step 3: Cross multiply
    10,181.04x = 15,272.16 × 3,255
  4. Step 4: Simplify right side
    10,181.04x = 49,710,880.80
  5. Step 5: Solve for x
    x = 49,710,880.80/10,181.04
  6. Step 6: Final answer
    x = 4,882.69

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Why These Related Problems?

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