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Finding the Fourth Proportional to 7,544.81, 10,412.02 and 4,232.81

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Solution

The fourth proportional to 7,544.81, 10,412.02 and 4,232.81 is: 5,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.81 : 10,412.02 = 4,232.81 : x
  2. Step 2: Convert to fraction form
    7,544.81/10,412.02 = 4,232.81/x
  3. Step 3: Cross multiply
    7,544.81x = 10,412.02 × 4,232.81
  4. Step 4: Simplify right side
    7,544.81x = 44,072,133.70
  5. Step 5: Solve for x
    x = 44,072,133.70/7,544.81
  6. Step 6: Final answer
    x = 5,841.38

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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.