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Finding the Fourth Proportional to 7,857, 10,840.23 and 5,205.87

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Solution

The fourth proportional to 7,857, 10,840.23 and 5,205.87 is: 7,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 10,840.23 = 5,205.87 : x
  2. Step 2: Convert to fraction form
    7,857/10,840.23 = 5,205.87/x
  3. Step 3: Cross multiply
    7,857x = 10,840.23 × 5,205.87
  4. Step 4: Simplify right side
    7,857x = 56,432,828.15
  5. Step 5: Solve for x
    x = 56,432,828.15/7,857
  6. Step 6: Final answer
    x = 7,182.49

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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.