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Finding the Fourth Proportional to 7,384.76, 11,079.24 and 3,005.36

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Solution

The fourth proportional to 7,384.76, 11,079.24 and 3,005.36 is: 4,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.76 : 11,079.24 = 3,005.36 : x
  2. Step 2: Convert to fraction form
    7,384.76/11,079.24 = 3,005.36/x
  3. Step 3: Cross multiply
    7,384.76x = 11,079.24 × 3,005.36
  4. Step 4: Simplify right side
    7,384.76x = 33,297,121.15
  5. Step 5: Solve for x
    x = 33,297,121.15/7,384.76
  6. Step 6: Final answer
    x = 4,508.90

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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.