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Finding the Fourth Proportional to 7,343.16, 11,014.74 and 2,152.68

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Solution

The fourth proportional to 7,343.16, 11,014.74 and 2,152.68 is: 3,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.16 : 11,014.74 = 2,152.68 : x
  2. Step 2: Convert to fraction form
    7,343.16/11,014.74 = 2,152.68/x
  3. Step 3: Cross multiply
    7,343.16x = 11,014.74 × 2,152.68
  4. Step 4: Simplify right side
    7,343.16x = 23,711,210.50
  5. Step 5: Solve for x
    x = 23,711,210.50/7,343.16
  6. Step 6: Final answer
    x = 3,229.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.