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Finding the Fourth Proportional to 7,648.47, 11,470.41 and 2,717.46

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Solution

The fourth proportional to 7,648.47, 11,470.41 and 2,717.46 is: 4,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.47 : 11,470.41 = 2,717.46 : x
  2. Step 2: Convert to fraction form
    7,648.47/11,470.41 = 2,717.46/x
  3. Step 3: Cross multiply
    7,648.47x = 11,470.41 × 2,717.46
  4. Step 4: Simplify right side
    7,648.47x = 31,170,380.36
  5. Step 5: Solve for x
    x = 31,170,380.36/7,648.47
  6. Step 6: Final answer
    x = 4,075.37

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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.