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Finding the Fourth Proportional to 10,996.86, 16,492.76 and 6,555.77

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Solution

The fourth proportional to 10,996.86, 16,492.76 and 6,555.77 is: 9,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.86 : 16,492.76 = 6,555.77 : x
  2. Step 2: Convert to fraction form
    10,996.86/16,492.76 = 6,555.77/x
  3. Step 3: Cross multiply
    10,996.86x = 16,492.76 × 6,555.77
  4. Step 4: Simplify right side
    10,996.86x = 108,122,805.19
  5. Step 5: Solve for x
    x = 108,122,805.19/10,996.86
  6. Step 6: Final answer
    x = 9,832.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.