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Finding the Fourth Proportional to 11,166, 16,727.08 and 7,655.44

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Solution

The fourth proportional to 11,166, 16,727.08 and 7,655.44 is: 11,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166 : 16,727.08 = 7,655.44 : x
  2. Step 2: Convert to fraction form
    11,166/16,727.08 = 7,655.44/x
  3. Step 3: Cross multiply
    11,166x = 16,727.08 × 7,655.44
  4. Step 4: Simplify right side
    11,166x = 128,053,157.32
  5. Step 5: Solve for x
    x = 128,053,157.32/11,166
  6. Step 6: Final answer
    x = 11,468.13

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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.