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Finding the Fourth Proportional to 8,454.07, 11,670.72 and 5,626.16

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Solution

The fourth proportional to 8,454.07, 11,670.72 and 5,626.16 is: 7,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.07 : 11,670.72 = 5,626.16 : x
  2. Step 2: Convert to fraction form
    8,454.07/11,670.72 = 5,626.16/x
  3. Step 3: Cross multiply
    8,454.07x = 11,670.72 × 5,626.16
  4. Step 4: Simplify right side
    8,454.07x = 65,661,302.35
  5. Step 5: Solve for x
    x = 65,661,302.35/8,454.07
  6. Step 6: Final answer
    x = 7,766.83

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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.