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Finding the Fourth Proportional to 7,741.17, 11,602.24 and 3,575.54

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Solution

The fourth proportional to 7,741.17, 11,602.24 and 3,575.54 is: 5,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.17 : 11,602.24 = 3,575.54 : x
  2. Step 2: Convert to fraction form
    7,741.17/11,602.24 = 3,575.54/x
  3. Step 3: Cross multiply
    7,741.17x = 11,602.24 × 3,575.54
  4. Step 4: Simplify right side
    7,741.17x = 41,484,293.28
  5. Step 5: Solve for x
    x = 41,484,293.28/7,741.17
  6. Step 6: Final answer
    x = 5,358.92

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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.