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Finding the Fourth Proportional to 11,242.08, 15,513.98 and 6,206.30

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Solution

The fourth proportional to 11,242.08, 15,513.98 and 6,206.30 is: 8,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.08 : 15,513.98 = 6,206.30 : x
  2. Step 2: Convert to fraction form
    11,242.08/15,513.98 = 6,206.30/x
  3. Step 3: Cross multiply
    11,242.08x = 15,513.98 × 6,206.30
  4. Step 4: Simplify right side
    11,242.08x = 96,284,305.47
  5. Step 5: Solve for x
    x = 96,284,305.47/11,242.08
  6. Step 6: Final answer
    x = 8,564.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.