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Finding the Fourth Proportional to 8,430.78, 12,645.81 and 2,884.62

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Solution

The fourth proportional to 8,430.78, 12,645.81 and 2,884.62 is: 4,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.78 : 12,645.81 = 2,884.62 : x
  2. Step 2: Convert to fraction form
    8,430.78/12,645.81 = 2,884.62/x
  3. Step 3: Cross multiply
    8,430.78x = 12,645.81 × 2,884.62
  4. Step 4: Simplify right side
    8,430.78x = 36,478,356.44
  5. Step 5: Solve for x
    x = 36,478,356.44/8,430.78
  6. Step 6: Final answer
    x = 4,326.81

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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.