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Finding the Fourth Proportional to 7,285.82, 10,050.47 and 6,019.38

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Solution

The fourth proportional to 7,285.82, 10,050.47 and 6,019.38 is: 8,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.82 : 10,050.47 = 6,019.38 : x
  2. Step 2: Convert to fraction form
    7,285.82/10,050.47 = 6,019.38/x
  3. Step 3: Cross multiply
    7,285.82x = 10,050.47 × 6,019.38
  4. Step 4: Simplify right side
    7,285.82x = 60,497,568.01
  5. Step 5: Solve for x
    x = 60,497,568.01/7,285.82
  6. Step 6: Final answer
    x = 8,303.47

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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.