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Finding the Fourth Proportional to 10,503.64, 14,494.90 and 6,027.49

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Solution

The fourth proportional to 10,503.64, 14,494.90 and 6,027.49 is: 8,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.64 : 14,494.90 = 6,027.49 : x
  2. Step 2: Convert to fraction form
    10,503.64/14,494.90 = 6,027.49/x
  3. Step 3: Cross multiply
    10,503.64x = 14,494.90 × 6,027.49
  4. Step 4: Simplify right side
    10,503.64x = 87,367,864.80
  5. Step 5: Solve for x
    x = 87,367,864.80/10,503.64
  6. Step 6: Final answer
    x = 8,317.87

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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.