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Finding the Fourth Proportional to 7,807.41, 10,774.23 and 4,270.62

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Solution

The fourth proportional to 7,807.41, 10,774.23 and 4,270.62 is: 5,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.41 : 10,774.23 = 4,270.62 : x
  2. Step 2: Convert to fraction form
    7,807.41/10,774.23 = 4,270.62/x
  3. Step 3: Cross multiply
    7,807.41x = 10,774.23 × 4,270.62
  4. Step 4: Simplify right side
    7,807.41x = 46,012,642.12
  5. Step 5: Solve for x
    x = 46,012,642.12/7,807.41
  6. Step 6: Final answer
    x = 5,893.46

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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.