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Finding the Fourth Proportional to 6,994.10, 10,503.30 and 3,713.60

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Solution

The fourth proportional to 6,994.10, 10,503.30 and 3,713.60 is: 5,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.10 : 10,503.30 = 3,713.60 : x
  2. Step 2: Convert to fraction form
    6,994.10/10,503.30 = 3,713.60/x
  3. Step 3: Cross multiply
    6,994.10x = 10,503.30 × 3,713.60
  4. Step 4: Simplify right side
    6,994.10x = 39,005,054.88
  5. Step 5: Solve for x
    x = 39,005,054.88/6,994.10
  6. Step 6: Final answer
    x = 5,576.85

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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.