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Finding the Fourth Proportional to 12,770.50, 19,162.23 and 5,846.74

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Solution

The fourth proportional to 12,770.50, 19,162.23 and 5,846.74 is: 8,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.50 : 19,162.23 = 5,846.74 : x
  2. Step 2: Convert to fraction form
    12,770.50/19,162.23 = 5,846.74/x
  3. Step 3: Cross multiply
    12,770.50x = 19,162.23 × 5,846.74
  4. Step 4: Simplify right side
    12,770.50x = 112,036,576.63
  5. Step 5: Solve for x
    x = 112,036,576.63/12,770.50
  6. Step 6: Final answer
    x = 8,773.08

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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.