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Finding the Fourth Proportional to 7,737.90, 10,680.44 and 7,212

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Solution

The fourth proportional to 7,737.90, 10,680.44 and 7,212 is: 9,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.90 : 10,680.44 = 7,212 : x
  2. Step 2: Convert to fraction form
    7,737.90/10,680.44 = 7,212/x
  3. Step 3: Cross multiply
    7,737.90x = 10,680.44 × 7,212
  4. Step 4: Simplify right side
    7,737.90x = 77,027,297.22
  5. Step 5: Solve for x
    x = 77,027,297.22/7,737.90
  6. Step 6: Final answer
    x = 9,954.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.