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Finding the Fourth Proportional to 11,903.68, 17,856.54 and 3,138.64

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Solution

The fourth proportional to 11,903.68, 17,856.54 and 3,138.64 is: 4,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.68 : 17,856.54 = 3,138.64 : x
  2. Step 2: Convert to fraction form
    11,903.68/17,856.54 = 3,138.64/x
  3. Step 3: Cross multiply
    11,903.68x = 17,856.54 × 3,138.64
  4. Step 4: Simplify right side
    11,903.68x = 56,045,250.71
  5. Step 5: Solve for x
    x = 56,045,250.71/11,903.68
  6. Step 6: Final answer
    x = 4,708.23

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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.