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Finding the Fourth Proportional to 7,136.28, 10,703.71 and 2,205.40

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Solution

The fourth proportional to 7,136.28, 10,703.71 and 2,205.40 is: 3,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.28 : 10,703.71 = 2,205.40 : x
  2. Step 2: Convert to fraction form
    7,136.28/10,703.71 = 2,205.40/x
  3. Step 3: Cross multiply
    7,136.28x = 10,703.71 × 2,205.40
  4. Step 4: Simplify right side
    7,136.28x = 23,605,962.03
  5. Step 5: Solve for x
    x = 23,605,962.03/7,136.28
  6. Step 6: Final answer
    x = 3,307.88

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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.