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Finding the Fourth Proportional to 11,156.37, 15,394.14 and 7,182.84

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Solution

The fourth proportional to 11,156.37, 15,394.14 and 7,182.84 is: 9,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156.37 : 15,394.14 = 7,182.84 : x
  2. Step 2: Convert to fraction form
    11,156.37/15,394.14 = 7,182.84/x
  3. Step 3: Cross multiply
    11,156.37x = 15,394.14 × 7,182.84
  4. Step 4: Simplify right side
    11,156.37x = 110,573,644.56
  5. Step 5: Solve for x
    x = 110,573,644.56/11,156.37
  6. Step 6: Final answer
    x = 9,911.26

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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.