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Finding the Fourth Proportional to 6,710.14, 10,065.34 and 2,327.74

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Solution

The fourth proportional to 6,710.14, 10,065.34 and 2,327.74 is: 3,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.14 : 10,065.34 = 2,327.74 : x
  2. Step 2: Convert to fraction form
    6,710.14/10,065.34 = 2,327.74/x
  3. Step 3: Cross multiply
    6,710.14x = 10,065.34 × 2,327.74
  4. Step 4: Simplify right side
    6,710.14x = 23,429,494.53
  5. Step 5: Solve for x
    x = 23,429,494.53/6,710.14
  6. Step 6: Final answer
    x = 3,491.66

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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.