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Finding the Fourth Proportional to 11,885.40, 17,828.10 and 5,741.40

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Solution

The fourth proportional to 11,885.40, 17,828.10 and 5,741.40 is: 8,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.40 : 17,828.10 = 5,741.40 : x
  2. Step 2: Convert to fraction form
    11,885.40/17,828.10 = 5,741.40/x
  3. Step 3: Cross multiply
    11,885.40x = 17,828.10 × 5,741.40
  4. Step 4: Simplify right side
    11,885.40x = 102,358,253.34
  5. Step 5: Solve for x
    x = 102,358,253.34/11,885.40
  6. Step 6: Final answer
    x = 8,612.10

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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.