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Finding the Fourth Proportional to 8,589.81, 11,853.74 and 5,053.25

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Solution

The fourth proportional to 8,589.81, 11,853.74 and 5,053.25 is: 6,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.81 : 11,853.74 = 5,053.25 : x
  2. Step 2: Convert to fraction form
    8,589.81/11,853.74 = 5,053.25/x
  3. Step 3: Cross multiply
    8,589.81x = 11,853.74 × 5,053.25
  4. Step 4: Simplify right side
    8,589.81x = 59,899,953.92
  5. Step 5: Solve for x
    x = 59,899,953.92/8,589.81
  6. Step 6: Final answer
    x = 6,973.37

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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.