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Finding the Fourth Proportional to 11,897.13, 16,402.05 and 10,211.25

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Solution

The fourth proportional to 11,897.13, 16,402.05 and 10,211.25 is: 14,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.13 : 16,402.05 = 10,211.25 : x
  2. Step 2: Convert to fraction form
    11,897.13/16,402.05 = 10,211.25/x
  3. Step 3: Cross multiply
    11,897.13x = 16,402.05 × 10,211.25
  4. Step 4: Simplify right side
    11,897.13x = 167,485,433.06
  5. Step 5: Solve for x
    x = 167,485,433.06/11,897.13
  6. Step 6: Final answer
    x = 14,077.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.