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Finding the Fourth Proportional to 8,803.22, 12,148.80 and 5,027

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Solution

The fourth proportional to 8,803.22, 12,148.80 and 5,027 is: 6,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.22 : 12,148.80 = 5,027 : x
  2. Step 2: Convert to fraction form
    8,803.22/12,148.80 = 5,027/x
  3. Step 3: Cross multiply
    8,803.22x = 12,148.80 × 5,027
  4. Step 4: Simplify right side
    8,803.22x = 61,072,017.60
  5. Step 5: Solve for x
    x = 61,072,017.60/8,803.22
  6. Step 6: Final answer
    x = 6,937.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.