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Finding the Fourth Proportional to 7,035.70, 9,708.31 and 4,011.21

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Solution

The fourth proportional to 7,035.70, 9,708.31 and 4,011.21 is: 5,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.70 : 9,708.31 = 4,011.21 : x
  2. Step 2: Convert to fraction form
    7,035.70/9,708.31 = 4,011.21/x
  3. Step 3: Cross multiply
    7,035.70x = 9,708.31 × 4,011.21
  4. Step 4: Simplify right side
    7,035.70x = 38,942,086.45
  5. Step 5: Solve for x
    x = 38,942,086.45/7,035.70
  6. Step 6: Final answer
    x = 5,534.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.