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Finding the Fourth Proportional to 11,325.84, 16,971.43 and 4,748.43

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Solution

The fourth proportional to 11,325.84, 16,971.43 and 4,748.43 is: 7,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.84 : 16,971.43 = 4,748.43 : x
  2. Step 2: Convert to fraction form
    11,325.84/16,971.43 = 4,748.43/x
  3. Step 3: Cross multiply
    11,325.84x = 16,971.43 × 4,748.43
  4. Step 4: Simplify right side
    11,325.84x = 80,587,647.35
  5. Step 5: Solve for x
    x = 80,587,647.35/11,325.84
  6. Step 6: Final answer
    x = 7,115.38

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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.