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Finding the Fourth Proportional to 10,474.21, 14,460.78 and 7,286.32

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Solution

The fourth proportional to 10,474.21, 14,460.78 and 7,286.32 is: 10,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.21 : 14,460.78 = 7,286.32 : x
  2. Step 2: Convert to fraction form
    10,474.21/14,460.78 = 7,286.32/x
  3. Step 3: Cross multiply
    10,474.21x = 14,460.78 × 7,286.32
  4. Step 4: Simplify right side
    10,474.21x = 105,365,870.53
  5. Step 5: Solve for x
    x = 105,365,870.53/10,474.21
  6. Step 6: Final answer
    x = 10,059.55

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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.