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Finding the Fourth Proportional to 11,923.35, 17,886.03 and 3,158.13

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Solution

The fourth proportional to 11,923.35, 17,886.03 and 3,158.13 is: 4,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.35 : 17,886.03 = 3,158.13 : x
  2. Step 2: Convert to fraction form
    11,923.35/17,886.03 = 3,158.13/x
  3. Step 3: Cross multiply
    11,923.35x = 17,886.03 × 3,158.13
  4. Step 4: Simplify right side
    11,923.35x = 56,486,407.92
  5. Step 5: Solve for x
    x = 56,486,407.92/11,923.35
  6. Step 6: Final answer
    x = 4,737.46

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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.