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Finding the Fourth Proportional to 10,003.72, 14,993.60 and 4,659.70

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Solution

The fourth proportional to 10,003.72, 14,993.60 and 4,659.70 is: 6,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.72 : 14,993.60 = 4,659.70 : x
  2. Step 2: Convert to fraction form
    10,003.72/14,993.60 = 4,659.70/x
  3. Step 3: Cross multiply
    10,003.72x = 14,993.60 × 4,659.70
  4. Step 4: Simplify right side
    10,003.72x = 69,865,616.19
  5. Step 5: Solve for x
    x = 69,865,616.19/10,003.72
  6. Step 6: Final answer
    x = 6,983.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.