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Finding the Fourth Proportional to 7,415.64, 10,233.13 and 4,057.78

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Solution

The fourth proportional to 7,415.64, 10,233.13 and 4,057.78 is: 5,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.64 : 10,233.13 = 4,057.78 : x
  2. Step 2: Convert to fraction form
    7,415.64/10,233.13 = 4,057.78/x
  3. Step 3: Cross multiply
    7,415.64x = 10,233.13 × 4,057.78
  4. Step 4: Simplify right side
    7,415.64x = 41,523,790.25
  5. Step 5: Solve for x
    x = 41,523,790.25/7,415.64
  6. Step 6: Final answer
    x = 5,599.49

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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.