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Finding the Fourth Proportional to 10,618, 15,926.37 and 3,222.52

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Solution

The fourth proportional to 10,618, 15,926.37 and 3,222.52 is: 4,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 15,926.37 = 3,222.52 : x
  2. Step 2: Convert to fraction form
    10,618/15,926.37 = 3,222.52/x
  3. Step 3: Cross multiply
    10,618x = 15,926.37 × 3,222.52
  4. Step 4: Simplify right side
    10,618x = 51,323,045.85
  5. Step 5: Solve for x
    x = 51,323,045.85/10,618
  6. Step 6: Final answer
    x = 4,833.59

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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.