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Finding the Fourth Proportional to 10,493.27, 14,486.06 and 8,097.86

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Solution

The fourth proportional to 10,493.27, 14,486.06 and 8,097.86 is: 11,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.27 : 14,486.06 = 8,097.86 : x
  2. Step 2: Convert to fraction form
    10,493.27/14,486.06 = 8,097.86/x
  3. Step 3: Cross multiply
    10,493.27x = 14,486.06 × 8,097.86
  4. Step 4: Simplify right side
    10,493.27x = 117,306,085.83
  5. Step 5: Solve for x
    x = 117,306,085.83/10,493.27
  6. Step 6: Final answer
    x = 11,179.17

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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.