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Finding the Fourth Proportional to 10,325.81, 14,250.84 and 6,134.06

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Solution

The fourth proportional to 10,325.81, 14,250.84 and 6,134.06 is: 8,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.81 : 14,250.84 = 6,134.06 : x
  2. Step 2: Convert to fraction form
    10,325.81/14,250.84 = 6,134.06/x
  3. Step 3: Cross multiply
    10,325.81x = 14,250.84 × 6,134.06
  4. Step 4: Simplify right side
    10,325.81x = 87,415,520.23
  5. Step 5: Solve for x
    x = 87,415,520.23/10,325.81
  6. Step 6: Final answer
    x = 8,465.73

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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.