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Finding the Fourth Proportional to 8,430.78, 12,647.66 and 2,882.84

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Solution

The fourth proportional to 8,430.78, 12,647.66 and 2,882.84 is: 4,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.78 : 12,647.66 = 2,882.84 : x
  2. Step 2: Convert to fraction form
    8,430.78/12,647.66 = 2,882.84/x
  3. Step 3: Cross multiply
    8,430.78x = 12,647.66 × 2,882.84
  4. Step 4: Simplify right side
    8,430.78x = 36,461,180.15
  5. Step 5: Solve for x
    x = 36,461,180.15/8,430.78
  6. Step 6: Final answer
    x = 4,324.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.