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Finding the Fourth Proportional to 11,858.50, 16,366.17 and 6,890.50

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Solution

The fourth proportional to 11,858.50, 16,366.17 and 6,890.50 is: 9,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.50 : 16,366.17 = 6,890.50 : x
  2. Step 2: Convert to fraction form
    11,858.50/16,366.17 = 6,890.50/x
  3. Step 3: Cross multiply
    11,858.50x = 16,366.17 × 6,890.50
  4. Step 4: Simplify right side
    11,858.50x = 112,771,094.39
  5. Step 5: Solve for x
    x = 112,771,094.39/11,858.50
  6. Step 6: Final answer
    x = 9,509.73

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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.