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Finding the Fourth Proportional to 7,142.70, 10,705.77 and 4,223.46

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Solution

The fourth proportional to 7,142.70, 10,705.77 and 4,223.46 is: 6,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.70 : 10,705.77 = 4,223.46 : x
  2. Step 2: Convert to fraction form
    7,142.70/10,705.77 = 4,223.46/x
  3. Step 3: Cross multiply
    7,142.70x = 10,705.77 × 4,223.46
  4. Step 4: Simplify right side
    7,142.70x = 45,215,391.36
  5. Step 5: Solve for x
    x = 45,215,391.36/7,142.70
  6. Step 6: Final answer
    x = 6,330.29

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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.