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Finding the Fourth Proportional to 11,821.90, 16,320.88 and 7,848.44

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Solution

The fourth proportional to 11,821.90, 16,320.88 and 7,848.44 is: 10,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.90 : 16,320.88 = 7,848.44 : x
  2. Step 2: Convert to fraction form
    11,821.90/16,320.88 = 7,848.44/x
  3. Step 3: Cross multiply
    11,821.90x = 16,320.88 × 7,848.44
  4. Step 4: Simplify right side
    11,821.90x = 128,093,447.43
  5. Step 5: Solve for x
    x = 128,093,447.43/11,821.90
  6. Step 6: Final answer
    x = 10,835.27

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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.