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Finding the Fourth Proportional to 7,206.54, 10,810.14 and 2,527.02

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Solution

The fourth proportional to 7,206.54, 10,810.14 and 2,527.02 is: 3,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.54 : 10,810.14 = 2,527.02 : x
  2. Step 2: Convert to fraction form
    7,206.54/10,810.14 = 2,527.02/x
  3. Step 3: Cross multiply
    7,206.54x = 10,810.14 × 2,527.02
  4. Step 4: Simplify right side
    7,206.54x = 27,317,439.98
  5. Step 5: Solve for x
    x = 27,317,439.98/7,206.54
  6. Step 6: Final answer
    x = 3,790.65

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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.