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Finding the Fourth Proportional to 11,929.87, 16,465.64 and 6,894.30

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Solution

The fourth proportional to 11,929.87, 16,465.64 and 6,894.30 is: 9,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.87 : 16,465.64 = 6,894.30 : x
  2. Step 2: Convert to fraction form
    11,929.87/16,465.64 = 6,894.30/x
  3. Step 3: Cross multiply
    11,929.87x = 16,465.64 × 6,894.30
  4. Step 4: Simplify right side
    11,929.87x = 113,519,027.38
  5. Step 5: Solve for x
    x = 113,519,027.38/11,929.87
  6. Step 6: Final answer
    x = 9,515.53

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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.