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Finding the Fourth Proportional to 11,688.80, 17,533.24 and 4,293.86

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Solution

The fourth proportional to 11,688.80, 17,533.24 and 4,293.86 is: 6,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.80 : 17,533.24 = 4,293.86 : x
  2. Step 2: Convert to fraction form
    11,688.80/17,533.24 = 4,293.86/x
  3. Step 3: Cross multiply
    11,688.80x = 17,533.24 × 4,293.86
  4. Step 4: Simplify right side
    11,688.80x = 75,285,277.91
  5. Step 5: Solve for x
    x = 75,285,277.91/11,688.80
  6. Step 6: Final answer
    x = 6,440.80

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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.