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Finding the Fourth Proportional to 10,977.66, 16,461.92 and 6,811.42

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Solution

The fourth proportional to 10,977.66, 16,461.92 and 6,811.42 is: 10,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.66 : 16,461.92 = 6,811.42 : x
  2. Step 2: Convert to fraction form
    10,977.66/16,461.92 = 6,811.42/x
  3. Step 3: Cross multiply
    10,977.66x = 16,461.92 × 6,811.42
  4. Step 4: Simplify right side
    10,977.66x = 112,129,051.13
  5. Step 5: Solve for x
    x = 112,129,051.13/10,977.66
  6. Step 6: Final answer
    x = 10,214.29

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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.