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Finding the Fourth Proportional to 12,113.56, 16,720.32 and 7,578.64

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Solution

The fourth proportional to 12,113.56, 16,720.32 and 7,578.64 is: 10,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.56 : 16,720.32 = 7,578.64 : x
  2. Step 2: Convert to fraction form
    12,113.56/16,720.32 = 7,578.64/x
  3. Step 3: Cross multiply
    12,113.56x = 16,720.32 × 7,578.64
  4. Step 4: Simplify right side
    12,113.56x = 126,717,285.96
  5. Step 5: Solve for x
    x = 126,717,285.96/12,113.56
  6. Step 6: Final answer
    x = 10,460.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.