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Finding the Fourth Proportional to 7,636.34, 11,454.55 and 2,706.14

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Solution

The fourth proportional to 7,636.34, 11,454.55 and 2,706.14 is: 4,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.34 : 11,454.55 = 2,706.14 : x
  2. Step 2: Convert to fraction form
    7,636.34/11,454.55 = 2,706.14/x
  3. Step 3: Cross multiply
    7,636.34x = 11,454.55 × 2,706.14
  4. Step 4: Simplify right side
    7,636.34x = 30,997,637.81
  5. Step 5: Solve for x
    x = 30,997,637.81/7,636.34
  6. Step 6: Final answer
    x = 4,059.23

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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.