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Finding the Fourth Proportional to 6,894.01, 10,339.32 and 3,192.69

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Solution

The fourth proportional to 6,894.01, 10,339.32 and 3,192.69 is: 4,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.01 : 10,339.32 = 3,192.69 : x
  2. Step 2: Convert to fraction form
    6,894.01/10,339.32 = 3,192.69/x
  3. Step 3: Cross multiply
    6,894.01x = 10,339.32 × 3,192.69
  4. Step 4: Simplify right side
    6,894.01x = 33,010,256.26
  5. Step 5: Solve for x
    x = 33,010,256.26/6,894.01
  6. Step 6: Final answer
    x = 4,788.25

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