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Finding the Fourth Proportional to 7,901.83, 11,851.77 and 4,940.54

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Solution

The fourth proportional to 7,901.83, 11,851.77 and 4,940.54 is: 7,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.83 : 11,851.77 = 4,940.54 : x
  2. Step 2: Convert to fraction form
    7,901.83/11,851.77 = 4,940.54/x
  3. Step 3: Cross multiply
    7,901.83x = 11,851.77 × 4,940.54
  4. Step 4: Simplify right side
    7,901.83x = 58,554,084.50
  5. Step 5: Solve for x
    x = 58,554,084.50/7,901.83
  6. Step 6: Final answer
    x = 7,410.20

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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.