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Finding the Fourth Proportional to 12,756.71, 19,135.10 and 3,872.12

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Solution

The fourth proportional to 12,756.71, 19,135.10 and 3,872.12 is: 5,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.71 : 19,135.10 = 3,872.12 : x
  2. Step 2: Convert to fraction form
    12,756.71/19,135.10 = 3,872.12/x
  3. Step 3: Cross multiply
    12,756.71x = 19,135.10 × 3,872.12
  4. Step 4: Simplify right side
    12,756.71x = 74,093,317.42
  5. Step 5: Solve for x
    x = 74,093,317.42/12,756.71
  6. Step 6: Final answer
    x = 5,808.18

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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.