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Finding the Fourth Proportional to 11,242.01, 15,513.89 and 6,206.12

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Solution

The fourth proportional to 11,242.01, 15,513.89 and 6,206.12 is: 8,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.01 : 15,513.89 = 6,206.12 : x
  2. Step 2: Convert to fraction form
    11,242.01/15,513.89 = 6,206.12/x
  3. Step 3: Cross multiply
    11,242.01x = 15,513.89 × 6,206.12
  4. Step 4: Simplify right side
    11,242.01x = 96,280,954.41
  5. Step 5: Solve for x
    x = 96,280,954.41/11,242.01
  6. Step 6: Final answer
    x = 8,564.39

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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.