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Finding the Fourth Proportional to 11,819.53, 16,311 and 7,103.89

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Solution

The fourth proportional to 11,819.53, 16,311 and 7,103.89 is: 9,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.53 : 16,311 = 7,103.89 : x
  2. Step 2: Convert to fraction form
    11,819.53/16,311 = 7,103.89/x
  3. Step 3: Cross multiply
    11,819.53x = 16,311 × 7,103.89
  4. Step 4: Simplify right side
    11,819.53x = 115,871,549.79
  5. Step 5: Solve for x
    x = 115,871,549.79/11,819.53
  6. Step 6: Final answer
    x = 9,803.40

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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.