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Finding the Fourth Proportional to 12,782.88, 19,168.83 and 4,460.40

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Solution

The fourth proportional to 12,782.88, 19,168.83 and 4,460.40 is: 6,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.88 : 19,168.83 = 4,460.40 : x
  2. Step 2: Convert to fraction form
    12,782.88/19,168.83 = 4,460.40/x
  3. Step 3: Cross multiply
    12,782.88x = 19,168.83 × 4,460.40
  4. Step 4: Simplify right side
    12,782.88x = 85,500,649.33
  5. Step 5: Solve for x
    x = 85,500,649.33/12,782.88
  6. Step 6: Final answer
    x = 6,688.68

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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.