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Finding the Fourth Proportional to 11,157.84, 15,394.72 and 7,972.10

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Solution

The fourth proportional to 11,157.84, 15,394.72 and 7,972.10 is: 10,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.84 : 15,394.72 = 7,972.10 : x
  2. Step 2: Convert to fraction form
    11,157.84/15,394.72 = 7,972.10/x
  3. Step 3: Cross multiply
    11,157.84x = 15,394.72 × 7,972.10
  4. Step 4: Simplify right side
    11,157.84x = 122,728,247.31
  5. Step 5: Solve for x
    x = 122,728,247.31/11,157.84
  6. Step 6: Final answer
    x = 10,999.28

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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.