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Finding the Fourth Proportional to 11,892.84, 16,412.25 and 6,587.74

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Solution

The fourth proportional to 11,892.84, 16,412.25 and 6,587.74 is: 9,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.84 : 16,412.25 = 6,587.74 : x
  2. Step 2: Convert to fraction form
    11,892.84/16,412.25 = 6,587.74/x
  3. Step 3: Cross multiply
    11,892.84x = 16,412.25 × 6,587.74
  4. Step 4: Simplify right side
    11,892.84x = 108,119,635.82
  5. Step 5: Solve for x
    x = 108,119,635.82/11,892.84
  6. Step 6: Final answer
    x = 9,091.15

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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.