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Finding the Fourth Proportional to 7,136.52, 10,704.80 and 4,210.80

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Solution

The fourth proportional to 7,136.52, 10,704.80 and 4,210.80 is: 6,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.52 : 10,704.80 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    7,136.52/10,704.80 = 4,210.80/x
  3. Step 3: Cross multiply
    7,136.52x = 10,704.80 × 4,210.80
  4. Step 4: Simplify right side
    7,136.52x = 45,075,771.84
  5. Step 5: Solve for x
    x = 45,075,771.84/7,136.52
  6. Step 6: Final answer
    x = 6,316.21

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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.