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Finding the Fourth Proportional to 11,797.90, 16,281.78 and 6,762.96

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Solution

The fourth proportional to 11,797.90, 16,281.78 and 6,762.96 is: 9,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.90 : 16,281.78 = 6,762.96 : x
  2. Step 2: Convert to fraction form
    11,797.90/16,281.78 = 6,762.96/x
  3. Step 3: Cross multiply
    11,797.90x = 16,281.78 × 6,762.96
  4. Step 4: Simplify right side
    11,797.90x = 110,113,026.87
  5. Step 5: Solve for x
    x = 110,113,026.87/11,797.90
  6. Step 6: Final answer
    x = 9,333.27

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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.