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Finding the Fourth Proportional to 11,410.83, 17,102.11 and 6,465.48

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Solution

The fourth proportional to 11,410.83, 17,102.11 and 6,465.48 is: 9,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.83 : 17,102.11 = 6,465.48 : x
  2. Step 2: Convert to fraction form
    11,410.83/17,102.11 = 6,465.48/x
  3. Step 3: Cross multiply
    11,410.83x = 17,102.11 × 6,465.48
  4. Step 4: Simplify right side
    11,410.83x = 110,573,350.16
  5. Step 5: Solve for x
    x = 110,573,350.16/11,410.83
  6. Step 6: Final answer
    x = 9,690.21

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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.