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Finding the Fourth Proportional to 11,627.76, 17,448 and 5,053.92

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Solution

The fourth proportional to 11,627.76, 17,448 and 5,053.92 is: 7,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.76 : 17,448 = 5,053.92 : x
  2. Step 2: Convert to fraction form
    11,627.76/17,448 = 5,053.92/x
  3. Step 3: Cross multiply
    11,627.76x = 17,448 × 5,053.92
  4. Step 4: Simplify right side
    11,627.76x = 88,180,796.16
  5. Step 5: Solve for x
    x = 88,180,796.16/11,627.76
  6. Step 6: Final answer
    x = 7,583.64

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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.