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Finding the Fourth Proportional to 7,807.44, 10,774.32 and 4,270.56

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Solution

The fourth proportional to 7,807.44, 10,774.32 and 4,270.56 is: 5,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.44 : 10,774.32 = 4,270.56 : x
  2. Step 2: Convert to fraction form
    7,807.44/10,774.32 = 4,270.56/x
  3. Step 3: Cross multiply
    7,807.44x = 10,774.32 × 4,270.56
  4. Step 4: Simplify right side
    7,807.44x = 46,012,380.02
  5. Step 5: Solve for x
    x = 46,012,380.02/7,807.44
  6. Step 6: Final answer
    x = 5,893.40

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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.