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Finding the Fourth Proportional to 11,897.42, 16,418.16 and 6,861.65

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Solution

The fourth proportional to 11,897.42, 16,418.16 and 6,861.65 is: 9,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.42 : 16,418.16 = 6,861.65 : x
  2. Step 2: Convert to fraction form
    11,897.42/16,418.16 = 6,861.65/x
  3. Step 3: Cross multiply
    11,897.42x = 16,418.16 × 6,861.65
  4. Step 4: Simplify right side
    11,897.42x = 112,655,585.47
  5. Step 5: Solve for x
    x = 112,655,585.47/11,897.42
  6. Step 6: Final answer
    x = 9,468.91

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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.