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Finding the Fourth Proportional to 7,114.56, 10,676.52 and 3,219.36

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Solution

The fourth proportional to 7,114.56, 10,676.52 and 3,219.36 is: 4,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.56 : 10,676.52 = 3,219.36 : x
  2. Step 2: Convert to fraction form
    7,114.56/10,676.52 = 3,219.36/x
  3. Step 3: Cross multiply
    7,114.56x = 10,676.52 × 3,219.36
  4. Step 4: Simplify right side
    7,114.56x = 34,371,561.43
  5. Step 5: Solve for x
    x = 34,371,561.43/7,114.56
  6. Step 6: Final answer
    x = 4,831.16

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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.