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Finding the Fourth Proportional to 12,776.52, 19,172.16 and 5,380.32

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Solution

The fourth proportional to 12,776.52, 19,172.16 and 5,380.32 is: 8,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.52 : 19,172.16 = 5,380.32 : x
  2. Step 2: Convert to fraction form
    12,776.52/19,172.16 = 5,380.32/x
  3. Step 3: Cross multiply
    12,776.52x = 19,172.16 × 5,380.32
  4. Step 4: Simplify right side
    12,776.52x = 103,152,355.89
  5. Step 5: Solve for x
    x = 103,152,355.89/12,776.52
  6. Step 6: Final answer
    x = 8,073.59

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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.