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Finding the Fourth Proportional to 7,647.45, 11,471.19 and 2,717.08

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Solution

The fourth proportional to 7,647.45, 11,471.19 and 2,717.08 is: 4,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.45 : 11,471.19 = 2,717.08 : x
  2. Step 2: Convert to fraction form
    7,647.45/11,471.19 = 2,717.08/x
  3. Step 3: Cross multiply
    7,647.45x = 11,471.19 × 2,717.08
  4. Step 4: Simplify right side
    7,647.45x = 31,168,102.06
  5. Step 5: Solve for x
    x = 31,168,102.06/7,647.45
  6. Step 6: Final answer
    x = 4,075.62

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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.