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Finding the Fourth Proportional to 8,643.72, 12,960.96 and 2,719.50

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Solution

The fourth proportional to 8,643.72, 12,960.96 and 2,719.50 is: 4,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.72 : 12,960.96 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    8,643.72/12,960.96 = 2,719.50/x
  3. Step 3: Cross multiply
    8,643.72x = 12,960.96 × 2,719.50
  4. Step 4: Simplify right side
    8,643.72x = 35,247,330.72
  5. Step 5: Solve for x
    x = 35,247,330.72/8,643.72
  6. Step 6: Final answer
    x = 4,077.80

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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.