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Finding the Fourth Proportional to 8,039.11, 11,094 and 4,684.22

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Solution

The fourth proportional to 8,039.11, 11,094 and 4,684.22 is: 6,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.11 : 11,094 = 4,684.22 : x
  2. Step 2: Convert to fraction form
    8,039.11/11,094 = 4,684.22/x
  3. Step 3: Cross multiply
    8,039.11x = 11,094 × 4,684.22
  4. Step 4: Simplify right side
    8,039.11x = 51,966,764.42
  5. Step 5: Solve for x
    x = 51,966,764.42/8,039.11
  6. Step 6: Final answer
    x = 6,464.25

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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.