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Finding the Fourth Proportional to 7,971.09, 11,000.62 and 4,434.30

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Solution

The fourth proportional to 7,971.09, 11,000.62 and 4,434.30 is: 6,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.09 : 11,000.62 = 4,434.30 : x
  2. Step 2: Convert to fraction form
    7,971.09/11,000.62 = 4,434.30/x
  3. Step 3: Cross multiply
    7,971.09x = 11,000.62 × 4,434.30
  4. Step 4: Simplify right side
    7,971.09x = 48,780,027.09
  5. Step 5: Solve for x
    x = 48,780,027.09/7,971.09
  6. Step 6: Final answer
    x = 6,119.62

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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.