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Finding the Fourth Proportional to 10,305.28, 14,220.72 and 5,828.77

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Solution

The fourth proportional to 10,305.28, 14,220.72 and 5,828.77 is: 8,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.28 : 14,220.72 = 5,828.77 : x
  2. Step 2: Convert to fraction form
    10,305.28/14,220.72 = 5,828.77/x
  3. Step 3: Cross multiply
    10,305.28x = 14,220.72 × 5,828.77
  4. Step 4: Simplify right side
    10,305.28x = 82,889,306.11
  5. Step 5: Solve for x
    x = 82,889,306.11/10,305.28
  6. Step 6: Final answer
    x = 8,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.