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Finding the Fourth Proportional to 10,977.48, 16,466.04 and 2,657.44

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Solution

The fourth proportional to 10,977.48, 16,466.04 and 2,657.44 is: 3,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.48 : 16,466.04 = 2,657.44 : x
  2. Step 2: Convert to fraction form
    10,977.48/16,466.04 = 2,657.44/x
  3. Step 3: Cross multiply
    10,977.48x = 16,466.04 × 2,657.44
  4. Step 4: Simplify right side
    10,977.48x = 43,757,513.34
  5. Step 5: Solve for x
    x = 43,757,513.34/10,977.48
  6. Step 6: Final answer
    x = 3,986.12

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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.