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Finding the Fourth Proportional to 10,474.84, 14,438.64 and 8,232.87

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Solution

The fourth proportional to 10,474.84, 14,438.64 and 8,232.87 is: 11,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.84 : 14,438.64 = 8,232.87 : x
  2. Step 2: Convert to fraction form
    10,474.84/14,438.64 = 8,232.87/x
  3. Step 3: Cross multiply
    10,474.84x = 14,438.64 × 8,232.87
  4. Step 4: Simplify right side
    10,474.84x = 118,871,362.98
  5. Step 5: Solve for x
    x = 118,871,362.98/10,474.84
  6. Step 6: Final answer
    x = 11,348.27

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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.