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Finding the Fourth Proportional to 11,688.30, 17,534.78 and 4,189.85

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Solution

The fourth proportional to 11,688.30, 17,534.78 and 4,189.85 is: 6,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.30 : 17,534.78 = 4,189.85 : x
  2. Step 2: Convert to fraction form
    11,688.30/17,534.78 = 4,189.85/x
  3. Step 3: Cross multiply
    11,688.30x = 17,534.78 × 4,189.85
  4. Step 4: Simplify right side
    11,688.30x = 73,468,070.83
  5. Step 5: Solve for x
    x = 73,468,070.83/11,688.30
  6. Step 6: Final answer
    x = 6,285.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.