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Finding the Fourth Proportional to 7,897.50, 11,838.96 and 2,963.79

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Solution

The fourth proportional to 7,897.50, 11,838.96 and 2,963.79 is: 4,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 11,838.96 = 2,963.79 : x
  2. Step 2: Convert to fraction form
    7,897.50/11,838.96 = 2,963.79/x
  3. Step 3: Cross multiply
    7,897.50x = 11,838.96 × 2,963.79
  4. Step 4: Simplify right side
    7,897.50x = 35,088,191.26
  5. Step 5: Solve for x
    x = 35,088,191.26/7,897.50
  6. Step 6: Final answer
    x = 4,442.95

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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.