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Finding the Fourth Proportional to 7,095.84, 10,632.96 and 6,361.44

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Solution

The fourth proportional to 7,095.84, 10,632.96 and 6,361.44 is: 9,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.84 : 10,632.96 = 6,361.44 : x
  2. Step 2: Convert to fraction form
    7,095.84/10,632.96 = 6,361.44/x
  3. Step 3: Cross multiply
    7,095.84x = 10,632.96 × 6,361.44
  4. Step 4: Simplify right side
    7,095.84x = 67,640,937.06
  5. Step 5: Solve for x
    x = 67,640,937.06/7,095.84
  6. Step 6: Final answer
    x = 9,532.48

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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.