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Finding the Fourth Proportional to 7,807.11, 10,773.87 and 4,270.38

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Solution

The fourth proportional to 7,807.11, 10,773.87 and 4,270.38 is: 5,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.11 : 10,773.87 = 4,270.38 : x
  2. Step 2: Convert to fraction form
    7,807.11/10,773.87 = 4,270.38/x
  3. Step 3: Cross multiply
    7,807.11x = 10,773.87 × 4,270.38
  4. Step 4: Simplify right side
    7,807.11x = 46,008,518.97
  5. Step 5: Solve for x
    x = 46,008,518.97/7,807.11
  6. Step 6: Final answer
    x = 5,893.16

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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.