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Finding the Fourth Proportional to 11,810.80, 16,296.50 and 8,977.42

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Solution

The fourth proportional to 11,810.80, 16,296.50 and 8,977.42 is: 12,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.80 : 16,296.50 = 8,977.42 : x
  2. Step 2: Convert to fraction form
    11,810.80/16,296.50 = 8,977.42/x
  3. Step 3: Cross multiply
    11,810.80x = 16,296.50 × 8,977.42
  4. Step 4: Simplify right side
    11,810.80x = 146,300,525.03
  5. Step 5: Solve for x
    x = 146,300,525.03/11,810.80
  6. Step 6: Final answer
    x = 12,387.01

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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.