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Finding the Fourth Proportional to 7,971.81, 11,001.10 and 4,434.94

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Solution

The fourth proportional to 7,971.81, 11,001.10 and 4,434.94 is: 6,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.81 : 11,001.10 = 4,434.94 : x
  2. Step 2: Convert to fraction form
    7,971.81/11,001.10 = 4,434.94/x
  3. Step 3: Cross multiply
    7,971.81x = 11,001.10 × 4,434.94
  4. Step 4: Simplify right side
    7,971.81x = 48,789,218.43
  5. Step 5: Solve for x
    x = 48,789,218.43/7,971.81
  6. Step 6: Final answer
    x = 6,120.22

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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.