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Finding the Fourth Proportional to 11,568.88, 17,356.56 and 4,648.24

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Solution

The fourth proportional to 11,568.88, 17,356.56 and 4,648.24 is: 6,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.88 : 17,356.56 = 4,648.24 : x
  2. Step 2: Convert to fraction form
    11,568.88/17,356.56 = 4,648.24/x
  3. Step 3: Cross multiply
    11,568.88x = 17,356.56 × 4,648.24
  4. Step 4: Simplify right side
    11,568.88x = 80,677,456.45
  5. Step 5: Solve for x
    x = 80,677,456.45/11,568.88
  6. Step 6: Final answer
    x = 6,973.66

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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.