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Finding the Fourth Proportional to 11,532.30, 15,914.99 and 6,428.27

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Solution

The fourth proportional to 11,532.30, 15,914.99 and 6,428.27 is: 8,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.30 : 15,914.99 = 6,428.27 : x
  2. Step 2: Convert to fraction form
    11,532.30/15,914.99 = 6,428.27/x
  3. Step 3: Cross multiply
    11,532.30x = 15,914.99 × 6,428.27
  4. Step 4: Simplify right side
    11,532.30x = 102,305,852.77
  5. Step 5: Solve for x
    x = 102,305,852.77/11,532.30
  6. Step 6: Final answer
    x = 8,871.24

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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.