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Finding the Fourth Proportional to 10,694.94, 16,023.93 and 7,569.65

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Solution

The fourth proportional to 10,694.94, 16,023.93 and 7,569.65 is: 11,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.94 : 16,023.93 = 7,569.65 : x
  2. Step 2: Convert to fraction form
    10,694.94/16,023.93 = 7,569.65/x
  3. Step 3: Cross multiply
    10,694.94x = 16,023.93 × 7,569.65
  4. Step 4: Simplify right side
    10,694.94x = 121,295,553.40
  5. Step 5: Solve for x
    x = 121,295,553.40/10,694.94
  6. Step 6: Final answer
    x = 11,341.40

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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.