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Finding the Fourth Proportional to 11,410.10, 15,745.74 and 6,374

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Solution

The fourth proportional to 11,410.10, 15,745.74 and 6,374 is: 8,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.10 : 15,745.74 = 6,374 : x
  2. Step 2: Convert to fraction form
    11,410.10/15,745.74 = 6,374/x
  3. Step 3: Cross multiply
    11,410.10x = 15,745.74 × 6,374
  4. Step 4: Simplify right side
    11,410.10x = 100,363,346.76
  5. Step 5: Solve for x
    x = 100,363,346.76/11,410.10
  6. Step 6: Final answer
    x = 8,796.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.