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Finding the Fourth Proportional to 11,659.10, 16,089.60 and 6,354.02

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Solution

The fourth proportional to 11,659.10, 16,089.60 and 6,354.02 is: 8,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.10 : 16,089.60 = 6,354.02 : x
  2. Step 2: Convert to fraction form
    11,659.10/16,089.60 = 6,354.02/x
  3. Step 3: Cross multiply
    11,659.10x = 16,089.60 × 6,354.02
  4. Step 4: Simplify right side
    11,659.10x = 102,233,640.19
  5. Step 5: Solve for x
    x = 102,233,640.19/11,659.10
  6. Step 6: Final answer
    x = 8,768.57

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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.