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Finding the Fourth Proportional to 8,430.54, 12,647.18 and 3,165.96

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Solution

The fourth proportional to 8,430.54, 12,647.18 and 3,165.96 is: 4,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.54 : 12,647.18 = 3,165.96 : x
  2. Step 2: Convert to fraction form
    8,430.54/12,647.18 = 3,165.96/x
  3. Step 3: Cross multiply
    8,430.54x = 12,647.18 × 3,165.96
  4. Step 4: Simplify right side
    8,430.54x = 40,040,450.16
  5. Step 5: Solve for x
    x = 40,040,450.16/8,430.54
  6. Step 6: Final answer
    x = 4,749.45

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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.