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Finding the Fourth Proportional to 7,807.75, 10,774.68 and 4,270.96

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Solution

The fourth proportional to 7,807.75, 10,774.68 and 4,270.96 is: 5,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.75 : 10,774.68 = 4,270.96 : x
  2. Step 2: Convert to fraction form
    7,807.75/10,774.68 = 4,270.96/x
  3. Step 3: Cross multiply
    7,807.75x = 10,774.68 × 4,270.96
  4. Step 4: Simplify right side
    7,807.75x = 46,018,224.75
  5. Step 5: Solve for x
    x = 46,018,224.75/7,807.75
  6. Step 6: Final answer
    x = 5,893.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.