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Finding the Fourth Proportional to 11,659.55, 16,089.71 and 6,354.25

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Solution

The fourth proportional to 11,659.55, 16,089.71 and 6,354.25 is: 8,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.55 : 16,089.71 = 6,354.25 : x
  2. Step 2: Convert to fraction form
    11,659.55/16,089.71 = 6,354.25/x
  3. Step 3: Cross multiply
    11,659.55x = 16,089.71 × 6,354.25
  4. Step 4: Simplify right side
    11,659.55x = 102,238,039.77
  5. Step 5: Solve for x
    x = 102,238,039.77/11,659.55
  6. Step 6: Final answer
    x = 8,768.61

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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.