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Finding the Fourth Proportional to 8,365.47, 11,544.17 and 4,639.47

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Solution

The fourth proportional to 8,365.47, 11,544.17 and 4,639.47 is: 6,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.47 : 11,544.17 = 4,639.47 : x
  2. Step 2: Convert to fraction form
    8,365.47/11,544.17 = 4,639.47/x
  3. Step 3: Cross multiply
    8,365.47x = 11,544.17 × 4,639.47
  4. Step 4: Simplify right side
    8,365.47x = 53,558,830.39
  5. Step 5: Solve for x
    x = 53,558,830.39/8,365.47
  6. Step 6: Final answer
    x = 6,402.37

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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.