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Finding the Fourth Proportional to 10,800.52, 14,905.92 and 6,821.44

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Solution

The fourth proportional to 10,800.52, 14,905.92 and 6,821.44 is: 9,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.52 : 14,905.92 = 6,821.44 : x
  2. Step 2: Convert to fraction form
    10,800.52/14,905.92 = 6,821.44/x
  3. Step 3: Cross multiply
    10,800.52x = 14,905.92 × 6,821.44
  4. Step 4: Simplify right side
    10,800.52x = 101,679,838.92
  5. Step 5: Solve for x
    x = 101,679,838.92/10,800.52
  6. Step 6: Final answer
    x = 9,414.35

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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.