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Finding the Fourth Proportional to 7,963.97, 11,946.11 and 2,897.98

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Solution

The fourth proportional to 7,963.97, 11,946.11 and 2,897.98 is: 4,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.97 : 11,946.11 = 2,897.98 : x
  2. Step 2: Convert to fraction form
    7,963.97/11,946.11 = 2,897.98/x
  3. Step 3: Cross multiply
    7,963.97x = 11,946.11 × 2,897.98
  4. Step 4: Simplify right side
    7,963.97x = 34,619,543.50
  5. Step 5: Solve for x
    x = 34,619,543.50/7,963.97
  6. Step 6: Final answer
    x = 4,347.02

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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.