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Finding the Fourth Proportional to 7,803.18, 11,706.30 and 2,537.21

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Solution

The fourth proportional to 7,803.18, 11,706.30 and 2,537.21 is: 3,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.18 : 11,706.30 = 2,537.21 : x
  2. Step 2: Convert to fraction form
    7,803.18/11,706.30 = 2,537.21/x
  3. Step 3: Cross multiply
    7,803.18x = 11,706.30 × 2,537.21
  4. Step 4: Simplify right side
    7,803.18x = 29,701,370.69
  5. Step 5: Solve for x
    x = 29,701,370.69/7,803.18
  6. Step 6: Final answer
    x = 3,806.32

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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.