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Finding the Fourth Proportional to 11,381.94, 15,697.26 and 7,401.60

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Solution

The fourth proportional to 11,381.94, 15,697.26 and 7,401.60 is: 10,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.94 : 15,697.26 = 7,401.60 : x
  2. Step 2: Convert to fraction form
    11,381.94/15,697.26 = 7,401.60/x
  3. Step 3: Cross multiply
    11,381.94x = 15,697.26 × 7,401.60
  4. Step 4: Simplify right side
    11,381.94x = 116,184,839.62
  5. Step 5: Solve for x
    x = 116,184,839.62/11,381.94
  6. Step 6: Final answer
    x = 10,207.82

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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.