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Finding the Fourth Proportional to 7,823.02, 10,795.85 and 4,286

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Solution

The fourth proportional to 7,823.02, 10,795.85 and 4,286 is: 5,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.02 : 10,795.85 = 4,286 : x
  2. Step 2: Convert to fraction form
    7,823.02/10,795.85 = 4,286/x
  3. Step 3: Cross multiply
    7,823.02x = 10,795.85 × 4,286
  4. Step 4: Simplify right side
    7,823.02x = 46,271,013.10
  5. Step 5: Solve for x
    x = 46,271,013.10/7,823.02
  6. Step 6: Final answer
    x = 5,914.73

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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.