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Finding the Fourth Proportional to 7,084.46, 10,625.24 and 2,406.98

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Solution

The fourth proportional to 7,084.46, 10,625.24 and 2,406.98 is: 3,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.46 : 10,625.24 = 2,406.98 : x
  2. Step 2: Convert to fraction form
    7,084.46/10,625.24 = 2,406.98/x
  3. Step 3: Cross multiply
    7,084.46x = 10,625.24 × 2,406.98
  4. Step 4: Simplify right side
    7,084.46x = 25,574,772.76
  5. Step 5: Solve for x
    x = 25,574,772.76/7,084.46
  6. Step 6: Final answer
    x = 3,609.98

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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.