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Finding the Fourth Proportional to 6,790.47, 10,186.79 and 2,894.91

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Solution

The fourth proportional to 6,790.47, 10,186.79 and 2,894.91 is: 4,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.47 : 10,186.79 = 2,894.91 : x
  2. Step 2: Convert to fraction form
    6,790.47/10,186.79 = 2,894.91/x
  3. Step 3: Cross multiply
    6,790.47x = 10,186.79 × 2,894.91
  4. Step 4: Simplify right side
    6,790.47x = 29,489,825.76
  5. Step 5: Solve for x
    x = 29,489,825.76/6,790.47
  6. Step 6: Final answer
    x = 4,342.83

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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.