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Finding the Fourth Proportional to 7,152.34, 10,722.70 and 6,176.73

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Solution

The fourth proportional to 7,152.34, 10,722.70 and 6,176.73 is: 9,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.34 : 10,722.70 = 6,176.73 : x
  2. Step 2: Convert to fraction form
    7,152.34/10,722.70 = 6,176.73/x
  3. Step 3: Cross multiply
    7,152.34x = 10,722.70 × 6,176.73
  4. Step 4: Simplify right side
    7,152.34x = 66,231,175.64
  5. Step 5: Solve for x
    x = 66,231,175.64/7,152.34
  6. Step 6: Final answer
    x = 9,260.07

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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.