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Finding the Fourth Proportional to 5,176.46, 7,096.91 and 5,083.20

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Solution

The fourth proportional to 5,176.46, 7,096.91 and 5,083.20 is: 6,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.46 : 7,096.91 = 5,083.20 : x
  2. Step 2: Convert to fraction form
    5,176.46/7,096.91 = 5,083.20/x
  3. Step 3: Cross multiply
    5,176.46x = 7,096.91 × 5,083.20
  4. Step 4: Simplify right side
    5,176.46x = 36,074,987.50
  5. Step 5: Solve for x
    x = 36,074,987.50/5,176.46
  6. Step 6: Final answer
    x = 6,969.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.