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Finding the Fourth Proportional to 7,314.05, 10,968.98 and 2,384.12

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Solution

The fourth proportional to 7,314.05, 10,968.98 and 2,384.12 is: 3,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.05 : 10,968.98 = 2,384.12 : x
  2. Step 2: Convert to fraction form
    7,314.05/10,968.98 = 2,384.12/x
  3. Step 3: Cross multiply
    7,314.05x = 10,968.98 × 2,384.12
  4. Step 4: Simplify right side
    7,314.05x = 26,151,311.54
  5. Step 5: Solve for x
    x = 26,151,311.54/7,314.05
  6. Step 6: Final answer
    x = 3,575.49

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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.