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Finding the Fourth Proportional to 8,454.16, 11,668.62 and 5,314.60

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Solution

The fourth proportional to 8,454.16, 11,668.62 and 5,314.60 is: 7,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.16 : 11,668.62 = 5,314.60 : x
  2. Step 2: Convert to fraction form
    8,454.16/11,668.62 = 5,314.60/x
  3. Step 3: Cross multiply
    8,454.16x = 11,668.62 × 5,314.60
  4. Step 4: Simplify right side
    8,454.16x = 62,014,047.85
  5. Step 5: Solve for x
    x = 62,014,047.85/8,454.16
  6. Step 6: Final answer
    x = 7,335.33

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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.