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Finding the Fourth Proportional to 8,114.32, 11,197.76 and 4,388.32

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Solution

The fourth proportional to 8,114.32, 11,197.76 and 4,388.32 is: 6,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.32 : 11,197.76 = 4,388.32 : x
  2. Step 2: Convert to fraction form
    8,114.32/11,197.76 = 4,388.32/x
  3. Step 3: Cross multiply
    8,114.32x = 11,197.76 × 4,388.32
  4. Step 4: Simplify right side
    8,114.32x = 49,139,332.22
  5. Step 5: Solve for x
    x = 49,139,332.22/8,114.32
  6. Step 6: Final answer
    x = 6,055.88

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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.