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Finding the Fourth Proportional to 7,136.28, 9,852.03 and 4,304.38

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Solution

The fourth proportional to 7,136.28, 9,852.03 and 4,304.38 is: 5,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.28 : 9,852.03 = 4,304.38 : x
  2. Step 2: Convert to fraction form
    7,136.28/9,852.03 = 4,304.38/x
  3. Step 3: Cross multiply
    7,136.28x = 9,852.03 × 4,304.38
  4. Step 4: Simplify right side
    7,136.28x = 42,406,880.89
  5. Step 5: Solve for x
    x = 42,406,880.89/7,136.28
  6. Step 6: Final answer
    x = 5,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.