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Finding the Fourth Proportional to 11,242.86, 15,515.20 and 6,206.99

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Solution

The fourth proportional to 11,242.86, 15,515.20 and 6,206.99 is: 8,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.86 : 15,515.20 = 6,206.99 : x
  2. Step 2: Convert to fraction form
    11,242.86/15,515.20 = 6,206.99/x
  3. Step 3: Cross multiply
    11,242.86x = 15,515.20 × 6,206.99
  4. Step 4: Simplify right side
    11,242.86x = 96,302,691.25
  5. Step 5: Solve for x
    x = 96,302,691.25/11,242.86
  6. Step 6: Final answer
    x = 8,565.68

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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.