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Finding the Fourth Proportional to 4,676.16, 7,014.22 and 1,166.15

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Solution

The fourth proportional to 4,676.16, 7,014.22 and 1,166.15 is: 1,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.16 : 7,014.22 = 1,166.15 : x
  2. Step 2: Convert to fraction form
    4,676.16/7,014.22 = 1,166.15/x
  3. Step 3: Cross multiply
    4,676.16x = 7,014.22 × 1,166.15
  4. Step 4: Simplify right side
    4,676.16x = 8,179,647.27
  5. Step 5: Solve for x
    x = 8,179,647.27/4,676.16
  6. Step 6: Final answer
    x = 1,749.22

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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.