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Finding the Fourth Proportional to 7,940.61, 10,951.88 and 5,283.41

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Solution

The fourth proportional to 7,940.61, 10,951.88 and 5,283.41 is: 7,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.61 : 10,951.88 = 5,283.41 : x
  2. Step 2: Convert to fraction form
    7,940.61/10,951.88 = 5,283.41/x
  3. Step 3: Cross multiply
    7,940.61x = 10,951.88 × 5,283.41
  4. Step 4: Simplify right side
    7,940.61x = 57,863,191.13
  5. Step 5: Solve for x
    x = 57,863,191.13/7,940.61
  6. Step 6: Final answer
    x = 7,287.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.