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Finding the Fourth Proportional to 7,511.56, 10,365.78 and 4,154.20

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Solution

The fourth proportional to 7,511.56, 10,365.78 and 4,154.20 is: 5,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.56 : 10,365.78 = 4,154.20 : x
  2. Step 2: Convert to fraction form
    7,511.56/10,365.78 = 4,154.20/x
  3. Step 3: Cross multiply
    7,511.56x = 10,365.78 × 4,154.20
  4. Step 4: Simplify right side
    7,511.56x = 43,061,523.28
  5. Step 5: Solve for x
    x = 43,061,523.28/7,511.56
  6. Step 6: Final answer
    x = 5,732.70

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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.