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Finding the Fourth Proportional to 7,205.44, 10,795.20 and 6,700

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Solution

The fourth proportional to 7,205.44, 10,795.20 and 6,700 is: 10,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.44 : 10,795.20 = 6,700 : x
  2. Step 2: Convert to fraction form
    7,205.44/10,795.20 = 6,700/x
  3. Step 3: Cross multiply
    7,205.44x = 10,795.20 × 6,700
  4. Step 4: Simplify right side
    7,205.44x = 72,327,840
  5. Step 5: Solve for x
    x = 72,327,840/7,205.44
  6. Step 6: Final answer
    x = 10,037.95

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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.