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Finding the Fourth Proportional to 7,462.46, 11,193.69 and 3,077.53

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Solution

The fourth proportional to 7,462.46, 11,193.69 and 3,077.53 is: 4,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.46 : 11,193.69 = 3,077.53 : x
  2. Step 2: Convert to fraction form
    7,462.46/11,193.69 = 3,077.53/x
  3. Step 3: Cross multiply
    7,462.46x = 11,193.69 × 3,077.53
  4. Step 4: Simplify right side
    7,462.46x = 34,448,900.34
  5. Step 5: Solve for x
    x = 34,448,900.34/7,462.46
  6. Step 6: Final answer
    x = 4,616.29

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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.