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Finding the Fourth Proportional to 11,897.87, 16,414.83 and 7,417.89

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Solution

The fourth proportional to 11,897.87, 16,414.83 and 7,417.89 is: 10,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.87 : 16,414.83 = 7,417.89 : x
  2. Step 2: Convert to fraction form
    11,897.87/16,414.83 = 7,417.89/x
  3. Step 3: Cross multiply
    11,897.87x = 16,414.83 × 7,417.89
  4. Step 4: Simplify right side
    11,897.87x = 121,763,403.31
  5. Step 5: Solve for x
    x = 121,763,403.31/11,897.87
  6. Step 6: Final answer
    x = 10,234.05

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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.