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Finding the Fourth Proportional to 10,380.84, 14,318.01 and 6,600.57

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Solution

The fourth proportional to 10,380.84, 14,318.01 and 6,600.57 is: 9,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.84 : 14,318.01 = 6,600.57 : x
  2. Step 2: Convert to fraction form
    10,380.84/14,318.01 = 6,600.57/x
  3. Step 3: Cross multiply
    10,380.84x = 14,318.01 × 6,600.57
  4. Step 4: Simplify right side
    10,380.84x = 94,507,027.27
  5. Step 5: Solve for x
    x = 94,507,027.27/10,380.84
  6. Step 6: Final answer
    x = 9,103.99

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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.