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Finding the Fourth Proportional to 11,539.14, 15,923.43 and 6,504.54

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Solution

The fourth proportional to 11,539.14, 15,923.43 and 6,504.54 is: 8,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.14 : 15,923.43 = 6,504.54 : x
  2. Step 2: Convert to fraction form
    11,539.14/15,923.43 = 6,504.54/x
  3. Step 3: Cross multiply
    11,539.14x = 15,923.43 × 6,504.54
  4. Step 4: Simplify right side
    11,539.14x = 103,574,587.37
  5. Step 5: Solve for x
    x = 103,574,587.37/11,539.14
  6. Step 6: Final answer
    x = 8,975.94

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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.