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Finding the Fourth Proportional to 12,708.68, 19,056.52 and 5,311.12

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Solution

The fourth proportional to 12,708.68, 19,056.52 and 5,311.12 is: 7,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.68 : 19,056.52 = 5,311.12 : x
  2. Step 2: Convert to fraction form
    12,708.68/19,056.52 = 5,311.12/x
  3. Step 3: Cross multiply
    12,708.68x = 19,056.52 × 5,311.12
  4. Step 4: Simplify right side
    12,708.68x = 101,211,464.50
  5. Step 5: Solve for x
    x = 101,211,464.50/12,708.68
  6. Step 6: Final answer
    x = 7,963.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.