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Finding the Fourth Proportional to 10,492.27, 14,484.68 and 8,096.86

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Solution

The fourth proportional to 10,492.27, 14,484.68 and 8,096.86 is: 11,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.27 : 14,484.68 = 8,096.86 : x
  2. Step 2: Convert to fraction form
    10,492.27/14,484.68 = 8,096.86/x
  3. Step 3: Cross multiply
    10,492.27x = 14,484.68 × 8,096.86
  4. Step 4: Simplify right side
    10,492.27x = 117,280,426.10
  5. Step 5: Solve for x
    x = 117,280,426.10/10,492.27
  6. Step 6: Final answer
    x = 11,177.79

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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.