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Finding the Fourth Proportional to 11,886.90, 16,402.68 and 6,581.58

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Solution

The fourth proportional to 11,886.90, 16,402.68 and 6,581.58 is: 9,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.90 : 16,402.68 = 6,581.58 : x
  2. Step 2: Convert to fraction form
    11,886.90/16,402.68 = 6,581.58/x
  3. Step 3: Cross multiply
    11,886.90x = 16,402.68 × 6,581.58
  4. Step 4: Simplify right side
    11,886.90x = 107,955,550.63
  5. Step 5: Solve for x
    x = 107,955,550.63/11,886.90
  6. Step 6: Final answer
    x = 9,081.89

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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.