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Finding the Fourth Proportional to 11,739.35, 16,200.05 and 6,434.06

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Solution

The fourth proportional to 11,739.35, 16,200.05 and 6,434.06 is: 8,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.35 : 16,200.05 = 6,434.06 : x
  2. Step 2: Convert to fraction form
    11,739.35/16,200.05 = 6,434.06/x
  3. Step 3: Cross multiply
    11,739.35x = 16,200.05 × 6,434.06
  4. Step 4: Simplify right side
    11,739.35x = 104,231,980.53
  5. Step 5: Solve for x
    x = 104,231,980.53/11,739.35
  6. Step 6: Final answer
    x = 8,878.86

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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.