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Finding the Fourth Proportional to 7,844.65, 10,825.72 and 4,307.92

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Solution

The fourth proportional to 7,844.65, 10,825.72 and 4,307.92 is: 5,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.65 : 10,825.72 = 4,307.92 : x
  2. Step 2: Convert to fraction form
    7,844.65/10,825.72 = 4,307.92/x
  3. Step 3: Cross multiply
    7,844.65x = 10,825.72 × 4,307.92
  4. Step 4: Simplify right side
    7,844.65x = 46,636,297.87
  5. Step 5: Solve for x
    x = 46,636,297.87/7,844.65
  6. Step 6: Final answer
    x = 5,944.98

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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.