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Finding the Fourth Proportional to 11,928.38, 16,459.95 and 6,894.22

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Solution

The fourth proportional to 11,928.38, 16,459.95 and 6,894.22 is: 9,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.38 : 16,459.95 = 6,894.22 : x
  2. Step 2: Convert to fraction form
    11,928.38/16,459.95 = 6,894.22/x
  3. Step 3: Cross multiply
    11,928.38x = 16,459.95 × 6,894.22
  4. Step 4: Simplify right side
    11,928.38x = 113,478,516.49
  5. Step 5: Solve for x
    x = 113,478,516.49/11,928.38
  6. Step 6: Final answer
    x = 9,513.32

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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.