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Finding the Fourth Proportional to 10,973.63, 15,138.77 and 8,622.61

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Solution

The fourth proportional to 10,973.63, 15,138.77 and 8,622.61 is: 11,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.63 : 15,138.77 = 8,622.61 : x
  2. Step 2: Convert to fraction form
    10,973.63/15,138.77 = 8,622.61/x
  3. Step 3: Cross multiply
    10,973.63x = 15,138.77 × 8,622.61
  4. Step 4: Simplify right side
    10,973.63x = 130,535,628.63
  5. Step 5: Solve for x
    x = 130,535,628.63/10,973.63
  6. Step 6: Final answer
    x = 11,895.39

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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.