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Finding the Fourth Proportional to 11,301.93, 16,934.19 and 8,009.14

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Solution

The fourth proportional to 11,301.93, 16,934.19 and 8,009.14 is: 12,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.93 : 16,934.19 = 8,009.14 : x
  2. Step 2: Convert to fraction form
    11,301.93/16,934.19 = 8,009.14/x
  3. Step 3: Cross multiply
    11,301.93x = 16,934.19 × 8,009.14
  4. Step 4: Simplify right side
    11,301.93x = 135,628,298.50
  5. Step 5: Solve for x
    x = 135,628,298.50/11,301.93
  6. Step 6: Final answer
    x = 12,000.45

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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.