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Finding the Fourth Proportional to 10,813.71, 14,921.22 and 6,097.89

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Solution

The fourth proportional to 10,813.71, 14,921.22 and 6,097.89 is: 8,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.71 : 14,921.22 = 6,097.89 : x
  2. Step 2: Convert to fraction form
    10,813.71/14,921.22 = 6,097.89/x
  3. Step 3: Cross multiply
    10,813.71x = 14,921.22 × 6,097.89
  4. Step 4: Simplify right side
    10,813.71x = 90,987,958.23
  5. Step 5: Solve for x
    x = 90,987,958.23/10,813.71
  6. Step 6: Final answer
    x = 8,414.13

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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.