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Finding the Fourth Proportional to 7,325.80, 10,972.14 and 4,201

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Solution

The fourth proportional to 7,325.80, 10,972.14 and 4,201 is: 6,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.80 : 10,972.14 = 4,201 : x
  2. Step 2: Convert to fraction form
    7,325.80/10,972.14 = 4,201/x
  3. Step 3: Cross multiply
    7,325.80x = 10,972.14 × 4,201
  4. Step 4: Simplify right side
    7,325.80x = 46,093,960.14
  5. Step 5: Solve for x
    x = 46,093,960.14/7,325.80
  6. Step 6: Final answer
    x = 6,292.00

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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.