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Finding the Fourth Proportional to 11,893.14, 16,411.88 and 6,587.78

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Solution

The fourth proportional to 11,893.14, 16,411.88 and 6,587.78 is: 9,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.14 : 16,411.88 = 6,587.78 : x
  2. Step 2: Convert to fraction form
    11,893.14/16,411.88 = 6,587.78/x
  3. Step 3: Cross multiply
    11,893.14x = 16,411.88 × 6,587.78
  4. Step 4: Simplify right side
    11,893.14x = 108,117,789.24
  5. Step 5: Solve for x
    x = 108,117,789.24/11,893.14
  6. Step 6: Final answer
    x = 9,090.77

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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.