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Finding the Fourth Proportional to 7,952.61, 11,935.07 and 5,504.54

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Solution

The fourth proportional to 7,952.61, 11,935.07 and 5,504.54 is: 8,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.61 : 11,935.07 = 5,504.54 : x
  2. Step 2: Convert to fraction form
    7,952.61/11,935.07 = 5,504.54/x
  3. Step 3: Cross multiply
    7,952.61x = 11,935.07 × 5,504.54
  4. Step 4: Simplify right side
    7,952.61x = 65,696,983.02
  5. Step 5: Solve for x
    x = 65,696,983.02/7,952.61
  6. Step 6: Final answer
    x = 8,261.06

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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.