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Finding the Fourth Proportional to 8,177.64, 12,266.52 and 4,880.80

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Solution

The fourth proportional to 8,177.64, 12,266.52 and 4,880.80 is: 7,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.64 : 12,266.52 = 4,880.80 : x
  2. Step 2: Convert to fraction form
    8,177.64/12,266.52 = 4,880.80/x
  3. Step 3: Cross multiply
    8,177.64x = 12,266.52 × 4,880.80
  4. Step 4: Simplify right side
    8,177.64x = 59,870,430.82
  5. Step 5: Solve for x
    x = 59,870,430.82/8,177.64
  6. Step 6: Final answer
    x = 7,321.24

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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.