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Finding the Fourth Proportional to 11,356.44, 15,663.50 and 7,820.79

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Solution

The fourth proportional to 11,356.44, 15,663.50 and 7,820.79 is: 10,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.44 : 15,663.50 = 7,820.79 : x
  2. Step 2: Convert to fraction form
    11,356.44/15,663.50 = 7,820.79/x
  3. Step 3: Cross multiply
    11,356.44x = 15,663.50 × 7,820.79
  4. Step 4: Simplify right side
    11,356.44x = 122,500,905.06
  5. Step 5: Solve for x
    x = 122,500,905.06/11,356.44
  6. Step 6: Final answer
    x = 10,786.91

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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.