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Finding the Fourth Proportional to 7,297.02, 10,072.95 and 5,200.62

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Solution

The fourth proportional to 7,297.02, 10,072.95 and 5,200.62 is: 7,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.02 : 10,072.95 = 5,200.62 : x
  2. Step 2: Convert to fraction form
    7,297.02/10,072.95 = 5,200.62/x
  3. Step 3: Cross multiply
    7,297.02x = 10,072.95 × 5,200.62
  4. Step 4: Simplify right side
    7,297.02x = 52,385,585.23
  5. Step 5: Solve for x
    x = 52,385,585.23/7,297.02
  6. Step 6: Final answer
    x = 7,179.04

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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.