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Finding the Fourth Proportional to 12,807.40, 19,213.62 and 5,411.80

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Solution

The fourth proportional to 12,807.40, 19,213.62 and 5,411.80 is: 8,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.40 : 19,213.62 = 5,411.80 : x
  2. Step 2: Convert to fraction form
    12,807.40/19,213.62 = 5,411.80/x
  3. Step 3: Cross multiply
    12,807.40x = 19,213.62 × 5,411.80
  4. Step 4: Simplify right side
    12,807.40x = 103,980,268.72
  5. Step 5: Solve for x
    x = 103,980,268.72/12,807.40
  6. Step 6: Final answer
    x = 8,118.76

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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.