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Finding the Fourth Proportional to 11,770.08, 16,242.75 and 6,464.76

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Solution

The fourth proportional to 11,770.08, 16,242.75 and 6,464.76 is: 8,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.08 : 16,242.75 = 6,464.76 : x
  2. Step 2: Convert to fraction form
    11,770.08/16,242.75 = 6,464.76/x
  3. Step 3: Cross multiply
    11,770.08x = 16,242.75 × 6,464.76
  4. Step 4: Simplify right side
    11,770.08x = 105,005,480.49
  5. Step 5: Solve for x
    x = 105,005,480.49/11,770.08
  6. Step 6: Final answer
    x = 8,921.39

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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.