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Finding the Fourth Proportional to 7,273.34, 10,902.54 and 4,146.95

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Solution

The fourth proportional to 7,273.34, 10,902.54 and 4,146.95 is: 6,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.34 : 10,902.54 = 4,146.95 : x
  2. Step 2: Convert to fraction form
    7,273.34/10,902.54 = 4,146.95/x
  3. Step 3: Cross multiply
    7,273.34x = 10,902.54 × 4,146.95
  4. Step 4: Simplify right side
    7,273.34x = 45,212,288.25
  5. Step 5: Solve for x
    x = 45,212,288.25/7,273.34
  6. Step 6: Final answer
    x = 6,216.17

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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.