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Finding the Fourth Proportional to 11,895.14, 16,415.42 and 6,590.27

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Solution

The fourth proportional to 11,895.14, 16,415.42 and 6,590.27 is: 9,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.14 : 16,415.42 = 6,590.27 : x
  2. Step 2: Convert to fraction form
    11,895.14/16,415.42 = 6,590.27/x
  3. Step 3: Cross multiply
    11,895.14x = 16,415.42 × 6,590.27
  4. Step 4: Simplify right side
    11,895.14x = 108,181,934.93
  5. Step 5: Solve for x
    x = 108,181,934.93/11,895.14
  6. Step 6: Final answer
    x = 9,094.64

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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.