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Finding the Fourth Proportional to 8,216.66, 12,325.56 and 5,583.08

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Solution

The fourth proportional to 8,216.66, 12,325.56 and 5,583.08 is: 8,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.66 : 12,325.56 = 5,583.08 : x
  2. Step 2: Convert to fraction form
    8,216.66/12,325.56 = 5,583.08/x
  3. Step 3: Cross multiply
    8,216.66x = 12,325.56 × 5,583.08
  4. Step 4: Simplify right side
    8,216.66x = 68,814,587.52
  5. Step 5: Solve for x
    x = 68,814,587.52/8,216.66
  6. Step 6: Final answer
    x = 8,375.01

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Why These Related Problems?

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