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Finding the Fourth Proportional to 7,578, 11,367 and 2,384.01

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Solution

The fourth proportional to 7,578, 11,367 and 2,384.01 is: 3,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 11,367 = 2,384.01 : x
  2. Step 2: Convert to fraction form
    7,578/11,367 = 2,384.01/x
  3. Step 3: Cross multiply
    7,578x = 11,367 × 2,384.01
  4. Step 4: Simplify right side
    7,578x = 27,099,041.67
  5. Step 5: Solve for x
    x = 27,099,041.67/7,578
  6. Step 6: Final answer
    x = 3,576.02

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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.