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Finding the Fourth Proportional to 8,560.74, 12,842.16 and 3,294.54

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Solution

The fourth proportional to 8,560.74, 12,842.16 and 3,294.54 is: 4,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.74 : 12,842.16 = 3,294.54 : x
  2. Step 2: Convert to fraction form
    8,560.74/12,842.16 = 3,294.54/x
  3. Step 3: Cross multiply
    8,560.74x = 12,842.16 × 3,294.54
  4. Step 4: Simplify right side
    8,560.74x = 42,309,009.81
  5. Step 5: Solve for x
    x = 42,309,009.81/8,560.74
  6. Step 6: Final answer
    x = 4,942.21

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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.