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Finding the Fourth Proportional to 7,937.50, 11,906.54 and 3,007.50

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Solution

The fourth proportional to 7,937.50, 11,906.54 and 3,007.50 is: 4,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.50 : 11,906.54 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    7,937.50/11,906.54 = 3,007.50/x
  3. Step 3: Cross multiply
    7,937.50x = 11,906.54 × 3,007.50
  4. Step 4: Simplify right side
    7,937.50x = 35,808,904.01
  5. Step 5: Solve for x
    x = 35,808,904.01/7,937.50
  6. Step 6: Final answer
    x = 4,511.36

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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.