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Finding the Fourth Proportional to 11,774.32, 16,249.56 and 6,470.20

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Solution

The fourth proportional to 11,774.32, 16,249.56 and 6,470.20 is: 8,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.32 : 16,249.56 = 6,470.20 : x
  2. Step 2: Convert to fraction form
    11,774.32/16,249.56 = 6,470.20/x
  3. Step 3: Cross multiply
    11,774.32x = 16,249.56 × 6,470.20
  4. Step 4: Simplify right side
    11,774.32x = 105,137,903.11
  5. Step 5: Solve for x
    x = 105,137,903.11/11,774.32
  6. Step 6: Final answer
    x = 8,929.42

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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.