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Finding the Fourth Proportional to 12,647.16, 18,968.56 and 3,411

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Solution

The fourth proportional to 12,647.16, 18,968.56 and 3,411 is: 5,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.16 : 18,968.56 = 3,411 : x
  2. Step 2: Convert to fraction form
    12,647.16/18,968.56 = 3,411/x
  3. Step 3: Cross multiply
    12,647.16x = 18,968.56 × 3,411
  4. Step 4: Simplify right side
    12,647.16x = 64,701,758.16
  5. Step 5: Solve for x
    x = 64,701,758.16/12,647.16
  6. Step 6: Final answer
    x = 5,115.91

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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.