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Finding the Fourth Proportional to 7,137.21, 10,706.05 and 2,457.17

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Solution

The fourth proportional to 7,137.21, 10,706.05 and 2,457.17 is: 3,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.21 : 10,706.05 = 2,457.17 : x
  2. Step 2: Convert to fraction form
    7,137.21/10,706.05 = 2,457.17/x
  3. Step 3: Cross multiply
    7,137.21x = 10,706.05 × 2,457.17
  4. Step 4: Simplify right side
    7,137.21x = 26,306,584.88
  5. Step 5: Solve for x
    x = 26,306,584.88/7,137.21
  6. Step 6: Final answer
    x = 3,685.84

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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.