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Finding the Fourth Proportional to 12,743.87, 19,114.86 and 3,978.50

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Solution

The fourth proportional to 12,743.87, 19,114.86 and 3,978.50 is: 5,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.87 : 19,114.86 = 3,978.50 : x
  2. Step 2: Convert to fraction form
    12,743.87/19,114.86 = 3,978.50/x
  3. Step 3: Cross multiply
    12,743.87x = 19,114.86 × 3,978.50
  4. Step 4: Simplify right side
    12,743.87x = 76,048,470.51
  5. Step 5: Solve for x
    x = 76,048,470.51/12,743.87
  6. Step 6: Final answer
    x = 5,967.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.