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Finding the Fourth Proportional to 7,841.81, 10,822.61 and 4,698

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Solution

The fourth proportional to 7,841.81, 10,822.61 and 4,698 is: 6,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.81 : 10,822.61 = 4,698 : x
  2. Step 2: Convert to fraction form
    7,841.81/10,822.61 = 4,698/x
  3. Step 3: Cross multiply
    7,841.81x = 10,822.61 × 4,698
  4. Step 4: Simplify right side
    7,841.81x = 50,844,633.53
  5. Step 5: Solve for x
    x = 50,844,633.53/7,841.81
  6. Step 6: Final answer
    x = 6,483.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.