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Finding the Fourth Proportional to 7,315.44, 10,977.72 and 2,698

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Solution

The fourth proportional to 7,315.44, 10,977.72 and 2,698 is: 4,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.44 : 10,977.72 = 2,698 : x
  2. Step 2: Convert to fraction form
    7,315.44/10,977.72 = 2,698/x
  3. Step 3: Cross multiply
    7,315.44x = 10,977.72 × 2,698
  4. Step 4: Simplify right side
    7,315.44x = 29,617,888.56
  5. Step 5: Solve for x
    x = 29,617,888.56/7,315.44
  6. Step 6: Final answer
    x = 4,048.68

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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.