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Finding the Fourth Proportional to 11,688.88, 17,533.48 and 6,527.60

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Solution

The fourth proportional to 11,688.88, 17,533.48 and 6,527.60 is: 9,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.88 : 17,533.48 = 6,527.60 : x
  2. Step 2: Convert to fraction form
    11,688.88/17,533.48 = 6,527.60/x
  3. Step 3: Cross multiply
    11,688.88x = 17,533.48 × 6,527.60
  4. Step 4: Simplify right side
    11,688.88x = 114,451,544.05
  5. Step 5: Solve for x
    x = 114,451,544.05/11,688.88
  6. Step 6: Final answer
    x = 9,791.49

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Why These Related Problems?

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