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Finding the Fourth Proportional to 6,714.57, 10,075.41 and 4,880.82

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Solution

The fourth proportional to 6,714.57, 10,075.41 and 4,880.82 is: 7,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.57 : 10,075.41 = 4,880.82 : x
  2. Step 2: Convert to fraction form
    6,714.57/10,075.41 = 4,880.82/x
  3. Step 3: Cross multiply
    6,714.57x = 10,075.41 × 4,880.82
  4. Step 4: Simplify right side
    6,714.57x = 49,176,262.64
  5. Step 5: Solve for x
    x = 49,176,262.64/6,714.57
  6. Step 6: Final answer
    x = 7,323.81

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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.