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Finding the Fourth Proportional to 8,152.74, 11,250.83 and 4,616.64

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Solution

The fourth proportional to 8,152.74, 11,250.83 and 4,616.64 is: 6,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.74 : 11,250.83 = 4,616.64 : x
  2. Step 2: Convert to fraction form
    8,152.74/11,250.83 = 4,616.64/x
  3. Step 3: Cross multiply
    8,152.74x = 11,250.83 × 4,616.64
  4. Step 4: Simplify right side
    8,152.74x = 51,941,008.73
  5. Step 5: Solve for x
    x = 51,941,008.73/8,152.74
  6. Step 6: Final answer
    x = 6,370.99

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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.