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Finding the Fourth Proportional to 7,971.34, 11,000.96 and 4,434.55

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Solution

The fourth proportional to 7,971.34, 11,000.96 and 4,434.55 is: 6,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.34 : 11,000.96 = 4,434.55 : x
  2. Step 2: Convert to fraction form
    7,971.34/11,000.96 = 4,434.55/x
  3. Step 3: Cross multiply
    7,971.34x = 11,000.96 × 4,434.55
  4. Step 4: Simplify right side
    7,971.34x = 48,784,290.75
  5. Step 5: Solve for x
    x = 48,784,290.75/7,971.34
  6. Step 6: Final answer
    x = 6,119.96

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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.