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Finding the Fourth Proportional to 10,462.73, 14,458.35 and 7,940.39

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Solution

The fourth proportional to 10,462.73, 14,458.35 and 7,940.39 is: 10,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.73 : 14,458.35 = 7,940.39 : x
  2. Step 2: Convert to fraction form
    10,462.73/14,458.35 = 7,940.39/x
  3. Step 3: Cross multiply
    10,462.73x = 14,458.35 × 7,940.39
  4. Step 4: Simplify right side
    10,462.73x = 114,804,865.46
  5. Step 5: Solve for x
    x = 114,804,865.46/10,462.73
  6. Step 6: Final answer
    x = 10,972.75

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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.