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Finding the Fourth Proportional to 8,283.42, 11,433.69 and 5,097.69

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Solution

The fourth proportional to 8,283.42, 11,433.69 and 5,097.69 is: 7,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.42 : 11,433.69 = 5,097.69 : x
  2. Step 2: Convert to fraction form
    8,283.42/11,433.69 = 5,097.69/x
  3. Step 3: Cross multiply
    8,283.42x = 11,433.69 × 5,097.69
  4. Step 4: Simplify right side
    8,283.42x = 58,285,407.18
  5. Step 5: Solve for x
    x = 58,285,407.18/8,283.42
  6. Step 6: Final answer
    x = 7,036.39

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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.