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Finding the Fourth Proportional to 11,877.12, 16,392.24 and 7,401.60

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Solution

The fourth proportional to 11,877.12, 16,392.24 and 7,401.60 is: 10,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.12 : 16,392.24 = 7,401.60 : x
  2. Step 2: Convert to fraction form
    11,877.12/16,392.24 = 7,401.60/x
  3. Step 3: Cross multiply
    11,877.12x = 16,392.24 × 7,401.60
  4. Step 4: Simplify right side
    11,877.12x = 121,328,803.58
  5. Step 5: Solve for x
    x = 121,328,803.58/11,877.12
  6. Step 6: Final answer
    x = 10,215.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.