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Finding the Fourth Proportional to 11,086.39, 15,298.84 and 6,607.84

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Solution

The fourth proportional to 11,086.39, 15,298.84 and 6,607.84 is: 9,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.39 : 15,298.84 = 6,607.84 : x
  2. Step 2: Convert to fraction form
    11,086.39/15,298.84 = 6,607.84/x
  3. Step 3: Cross multiply
    11,086.39x = 15,298.84 × 6,607.84
  4. Step 4: Simplify right side
    11,086.39x = 101,092,177.37
  5. Step 5: Solve for x
    x = 101,092,177.37/11,086.39
  6. Step 6: Final answer
    x = 9,118.58

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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.