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Finding the Fourth Proportional to 11,324.58, 15,627.39 and 6,289.12

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Solution

The fourth proportional to 11,324.58, 15,627.39 and 6,289.12 is: 8,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.58 : 15,627.39 = 6,289.12 : x
  2. Step 2: Convert to fraction form
    11,324.58/15,627.39 = 6,289.12/x
  3. Step 3: Cross multiply
    11,324.58x = 15,627.39 × 6,289.12
  4. Step 4: Simplify right side
    11,324.58x = 98,282,531.00
  5. Step 5: Solve for x
    x = 98,282,531.00/11,324.58
  6. Step 6: Final answer
    x = 8,678.69

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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.