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Finding the Fourth Proportional to 10,828.34, 16,264.35 and 6,454.34

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Solution

The fourth proportional to 10,828.34, 16,264.35 and 6,454.34 is: 9,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.34 : 16,264.35 = 6,454.34 : x
  2. Step 2: Convert to fraction form
    10,828.34/16,264.35 = 6,454.34/x
  3. Step 3: Cross multiply
    10,828.34x = 16,264.35 × 6,454.34
  4. Step 4: Simplify right side
    10,828.34x = 104,975,644.78
  5. Step 5: Solve for x
    x = 104,975,644.78/10,828.34
  6. Step 6: Final answer
    x = 9,694.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.