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Finding the Fourth Proportional to 7,628.38, 10,532.06 and 5,237.58

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Solution

The fourth proportional to 7,628.38, 10,532.06 and 5,237.58 is: 7,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.38 : 10,532.06 = 5,237.58 : x
  2. Step 2: Convert to fraction form
    7,628.38/10,532.06 = 5,237.58/x
  3. Step 3: Cross multiply
    7,628.38x = 10,532.06 × 5,237.58
  4. Step 4: Simplify right side
    7,628.38x = 55,162,506.81
  5. Step 5: Solve for x
    x = 55,162,506.81/7,628.38
  6. Step 6: Final answer
    x = 7,231.22

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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.