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Finding the Fourth Proportional to 11,790.63, 16,275.94 and 7,074

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Solution

The fourth proportional to 11,790.63, 16,275.94 and 7,074 is: 9,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.63 : 16,275.94 = 7,074 : x
  2. Step 2: Convert to fraction form
    11,790.63/16,275.94 = 7,074/x
  3. Step 3: Cross multiply
    11,790.63x = 16,275.94 × 7,074
  4. Step 4: Simplify right side
    11,790.63x = 115,135,981.88
  5. Step 5: Solve for x
    x = 115,135,981.88/11,790.63
  6. Step 6: Final answer
    x = 9,765.04

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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.