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Finding the Fourth Proportional to 10,808.86, 14,916.23 and 6,093.14

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Solution

The fourth proportional to 10,808.86, 14,916.23 and 6,093.14 is: 8,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.86 : 14,916.23 = 6,093.14 : x
  2. Step 2: Convert to fraction form
    10,808.86/14,916.23 = 6,093.14/x
  3. Step 3: Cross multiply
    10,808.86x = 14,916.23 × 6,093.14
  4. Step 4: Simplify right side
    10,808.86x = 90,886,662.23
  5. Step 5: Solve for x
    x = 90,886,662.23/10,808.86
  6. Step 6: Final answer
    x = 8,408.53

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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.