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Finding the Fourth Proportional to 8,894.78, 13,342.15 and 8,353.50

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Solution

The fourth proportional to 8,894.78, 13,342.15 and 8,353.50 is: 12,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.78 : 13,342.15 = 8,353.50 : x
  2. Step 2: Convert to fraction form
    8,894.78/13,342.15 = 8,353.50/x
  3. Step 3: Cross multiply
    8,894.78x = 13,342.15 × 8,353.50
  4. Step 4: Simplify right side
    8,894.78x = 111,453,610.43
  5. Step 5: Solve for x
    x = 111,453,610.43/8,894.78
  6. Step 6: Final answer
    x = 12,530.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.