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Finding the Fourth Proportional to 11,206.30, 16,809 and 4,627.54

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Solution

The fourth proportional to 11,206.30, 16,809 and 4,627.54 is: 6,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.30 : 16,809 = 4,627.54 : x
  2. Step 2: Convert to fraction form
    11,206.30/16,809 = 4,627.54/x
  3. Step 3: Cross multiply
    11,206.30x = 16,809 × 4,627.54
  4. Step 4: Simplify right side
    11,206.30x = 77,784,319.86
  5. Step 5: Solve for x
    x = 77,784,319.86/11,206.30
  6. Step 6: Final answer
    x = 6,941.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.