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Finding the Fourth Proportional to 11,892.14, 16,412.08 and 6,587.46

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Solution

The fourth proportional to 11,892.14, 16,412.08 and 6,587.46 is: 9,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.14 : 16,412.08 = 6,587.46 : x
  2. Step 2: Convert to fraction form
    11,892.14/16,412.08 = 6,587.46/x
  3. Step 3: Cross multiply
    11,892.14x = 16,412.08 × 6,587.46
  4. Step 4: Simplify right side
    11,892.14x = 108,113,920.52
  5. Step 5: Solve for x
    x = 108,113,920.52/11,892.14
  6. Step 6: Final answer
    x = 9,091.21

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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.