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Finding the Fourth Proportional to 11,810.28, 16,298.92 and 6,505.09

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Solution

The fourth proportional to 11,810.28, 16,298.92 and 6,505.09 is: 8,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.28 : 16,298.92 = 6,505.09 : x
  2. Step 2: Convert to fraction form
    11,810.28/16,298.92 = 6,505.09/x
  3. Step 3: Cross multiply
    11,810.28x = 16,298.92 × 6,505.09
  4. Step 4: Simplify right side
    11,810.28x = 106,025,941.50
  5. Step 5: Solve for x
    x = 106,025,941.50/11,810.28
  6. Step 6: Final answer
    x = 8,977.43

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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.