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Finding the Fourth Proportional to 7,461.95, 11,190.42 and 3,761.82

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Solution

The fourth proportional to 7,461.95, 11,190.42 and 3,761.82 is: 5,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.95 : 11,190.42 = 3,761.82 : x
  2. Step 2: Convert to fraction form
    7,461.95/11,190.42 = 3,761.82/x
  3. Step 3: Cross multiply
    7,461.95x = 11,190.42 × 3,761.82
  4. Step 4: Simplify right side
    7,461.95x = 42,096,345.76
  5. Step 5: Solve for x
    x = 42,096,345.76/7,461.95
  6. Step 6: Final answer
    x = 5,641.47

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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.