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Finding the Fourth Proportional to 7,897.01, 11,835.02 and 3,447.95

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Solution

The fourth proportional to 7,897.01, 11,835.02 and 3,447.95 is: 5,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.01 : 11,835.02 = 3,447.95 : x
  2. Step 2: Convert to fraction form
    7,897.01/11,835.02 = 3,447.95/x
  3. Step 3: Cross multiply
    7,897.01x = 11,835.02 × 3,447.95
  4. Step 4: Simplify right side
    7,897.01x = 40,806,557.21
  5. Step 5: Solve for x
    x = 40,806,557.21/7,897.01
  6. Step 6: Final answer
    x = 5,167.34

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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.