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Finding the Fourth Proportional to 11,384.55, 17,078.87 and 5,147.50

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Solution

The fourth proportional to 11,384.55, 17,078.87 and 5,147.50 is: 7,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.55 : 17,078.87 = 5,147.50 : x
  2. Step 2: Convert to fraction form
    11,384.55/17,078.87 = 5,147.50/x
  3. Step 3: Cross multiply
    11,384.55x = 17,078.87 × 5,147.50
  4. Step 4: Simplify right side
    11,384.55x = 87,913,397.93
  5. Step 5: Solve for x
    x = 87,913,397.93/11,384.55
  6. Step 6: Final answer
    x = 7,722.17

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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.