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Finding the Fourth Proportional to 7,269.12, 10,905.12 and 3,574.08

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Solution

The fourth proportional to 7,269.12, 10,905.12 and 3,574.08 is: 5,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.12 : 10,905.12 = 3,574.08 : x
  2. Step 2: Convert to fraction form
    7,269.12/10,905.12 = 3,574.08/x
  3. Step 3: Cross multiply
    7,269.12x = 10,905.12 × 3,574.08
  4. Step 4: Simplify right side
    7,269.12x = 38,975,771.29
  5. Step 5: Solve for x
    x = 38,975,771.29/7,269.12
  6. Step 6: Final answer
    x = 5,361.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.