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Finding the Fourth Proportional to 7,952.04, 10,971.72 and 5,431.32

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Solution

The fourth proportional to 7,952.04, 10,971.72 and 5,431.32 is: 7,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.04 : 10,971.72 = 5,431.32 : x
  2. Step 2: Convert to fraction form
    7,952.04/10,971.72 = 5,431.32/x
  3. Step 3: Cross multiply
    7,952.04x = 10,971.72 × 5,431.32
  4. Step 4: Simplify right side
    7,952.04x = 59,590,922.27
  5. Step 5: Solve for x
    x = 59,590,922.27/7,952.04
  6. Step 6: Final answer
    x = 7,493.79

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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.