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Finding the Fourth Proportional to 7,145.70, 10,710.27 and 4,226.46

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Solution

The fourth proportional to 7,145.70, 10,710.27 and 4,226.46 is: 6,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.70 : 10,710.27 = 4,226.46 : x
  2. Step 2: Convert to fraction form
    7,145.70/10,710.27 = 4,226.46/x
  3. Step 3: Cross multiply
    7,145.70x = 10,710.27 × 4,226.46
  4. Step 4: Simplify right side
    7,145.70x = 45,266,527.74
  5. Step 5: Solve for x
    x = 45,266,527.74/7,145.70
  6. Step 6: Final answer
    x = 6,334.79

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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.