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Finding the Fourth Proportional to 10,181.76, 15,267.64 and 3,607

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Solution

The fourth proportional to 10,181.76, 15,267.64 and 3,607 is: 5,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.76 : 15,267.64 = 3,607 : x
  2. Step 2: Convert to fraction form
    10,181.76/15,267.64 = 3,607/x
  3. Step 3: Cross multiply
    10,181.76x = 15,267.64 × 3,607
  4. Step 4: Simplify right side
    10,181.76x = 55,070,377.48
  5. Step 5: Solve for x
    x = 55,070,377.48/10,181.76
  6. Step 6: Final answer
    x = 5,408.73

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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.