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Finding the Fourth Proportional to 6,718.76, 10,075.50 and 3,946.13

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Solution

The fourth proportional to 6,718.76, 10,075.50 and 3,946.13 is: 5,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.76 : 10,075.50 = 3,946.13 : x
  2. Step 2: Convert to fraction form
    6,718.76/10,075.50 = 3,946.13/x
  3. Step 3: Cross multiply
    6,718.76x = 10,075.50 × 3,946.13
  4. Step 4: Simplify right side
    6,718.76x = 39,759,182.44
  5. Step 5: Solve for x
    x = 39,759,182.44/6,718.76
  6. Step 6: Final answer
    x = 5,917.64

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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.