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Finding the Fourth Proportional to 10,380.68, 14,325.74 and 5,904.84

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Solution

The fourth proportional to 10,380.68, 14,325.74 and 5,904.84 is: 8,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.68 : 14,325.74 = 5,904.84 : x
  2. Step 2: Convert to fraction form
    10,380.68/14,325.74 = 5,904.84/x
  3. Step 3: Cross multiply
    10,380.68x = 14,325.74 × 5,904.84
  4. Step 4: Simplify right side
    10,380.68x = 84,591,202.58
  5. Step 5: Solve for x
    x = 84,591,202.58/10,380.68
  6. Step 6: Final answer
    x = 8,148.91

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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.