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Finding the Fourth Proportional to 7,857.38, 10,840.75 and 5,206.25

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Solution

The fourth proportional to 7,857.38, 10,840.75 and 5,206.25 is: 7,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.38 : 10,840.75 = 5,206.25 : x
  2. Step 2: Convert to fraction form
    7,857.38/10,840.75 = 5,206.25/x
  3. Step 3: Cross multiply
    7,857.38x = 10,840.75 × 5,206.25
  4. Step 4: Simplify right side
    7,857.38x = 56,439,587.47
  5. Step 5: Solve for x
    x = 56,439,587.47/7,857.38
  6. Step 6: Final answer
    x = 7,183.01

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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.