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Finding the Fourth Proportional to 10,323, 15,484.68 and 4,167

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Solution

The fourth proportional to 10,323, 15,484.68 and 4,167 is: 6,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 15,484.68 = 4,167 : x
  2. Step 2: Convert to fraction form
    10,323/15,484.68 = 4,167/x
  3. Step 3: Cross multiply
    10,323x = 15,484.68 × 4,167
  4. Step 4: Simplify right side
    10,323x = 64,524,661.56
  5. Step 5: Solve for x
    x = 64,524,661.56/10,323
  6. Step 6: Final answer
    x = 6,250.57

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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.