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Finding the Fourth Proportional to 10,054.48, 13,869.48 and 6,322

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Solution

The fourth proportional to 10,054.48, 13,869.48 and 6,322 is: 8,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.48 : 13,869.48 = 6,322 : x
  2. Step 2: Convert to fraction form
    10,054.48/13,869.48 = 6,322/x
  3. Step 3: Cross multiply
    10,054.48x = 13,869.48 × 6,322
  4. Step 4: Simplify right side
    10,054.48x = 87,682,852.56
  5. Step 5: Solve for x
    x = 87,682,852.56/10,054.48
  6. Step 6: Final answer
    x = 8,720.77

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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.