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Finding the Fourth Proportional to 8,632.67, 12,948.62 and 2,709.42

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Solution

The fourth proportional to 8,632.67, 12,948.62 and 2,709.42 is: 4,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.67 : 12,948.62 = 2,709.42 : x
  2. Step 2: Convert to fraction form
    8,632.67/12,948.62 = 2,709.42/x
  3. Step 3: Cross multiply
    8,632.67x = 12,948.62 × 2,709.42
  4. Step 4: Simplify right side
    8,632.67x = 35,083,206.95
  5. Step 5: Solve for x
    x = 35,083,206.95/8,632.67
  6. Step 6: Final answer
    x = 4,064.01

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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.