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Finding the Fourth Proportional to 11,393.51, 15,724.25 and 6,359.48

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Solution

The fourth proportional to 11,393.51, 15,724.25 and 6,359.48 is: 8,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.51 : 15,724.25 = 6,359.48 : x
  2. Step 2: Convert to fraction form
    11,393.51/15,724.25 = 6,359.48/x
  3. Step 3: Cross multiply
    11,393.51x = 15,724.25 × 6,359.48
  4. Step 4: Simplify right side
    11,393.51x = 99,997,942.97
  5. Step 5: Solve for x
    x = 99,997,942.97/11,393.51
  6. Step 6: Final answer
    x = 8,776.75

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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.