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Finding the Fourth Proportional to 7,971.96, 11,004.32 and 5,318.40

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Solution

The fourth proportional to 7,971.96, 11,004.32 and 5,318.40 is: 7,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.96 : 11,004.32 = 5,318.40 : x
  2. Step 2: Convert to fraction form
    7,971.96/11,004.32 = 5,318.40/x
  3. Step 3: Cross multiply
    7,971.96x = 11,004.32 × 5,318.40
  4. Step 4: Simplify right side
    7,971.96x = 58,525,375.49
  5. Step 5: Solve for x
    x = 58,525,375.49/7,971.96
  6. Step 6: Final answer
    x = 7,341.40

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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.