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Finding the Fourth Proportional to 10,326.32, 15,489.48 and 4,166

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Solution

The fourth proportional to 10,326.32, 15,489.48 and 4,166 is: 6,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.32 : 15,489.48 = 4,166 : x
  2. Step 2: Convert to fraction form
    10,326.32/15,489.48 = 4,166/x
  3. Step 3: Cross multiply
    10,326.32x = 15,489.48 × 4,166
  4. Step 4: Simplify right side
    10,326.32x = 64,529,173.68
  5. Step 5: Solve for x
    x = 64,529,173.68/10,326.32
  6. Step 6: Final answer
    x = 6,249

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.