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Finding the Fourth Proportional to 7,963.88, 11,948.25 and 4,071.02

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Solution

The fourth proportional to 7,963.88, 11,948.25 and 4,071.02 is: 6,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.88 : 11,948.25 = 4,071.02 : x
  2. Step 2: Convert to fraction form
    7,963.88/11,948.25 = 4,071.02/x
  3. Step 3: Cross multiply
    7,963.88x = 11,948.25 × 4,071.02
  4. Step 4: Simplify right side
    7,963.88x = 48,641,564.72
  5. Step 5: Solve for x
    x = 48,641,564.72/7,963.88
  6. Step 6: Final answer
    x = 6,107.77

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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.