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Finding the Fourth Proportional to 11,291.76, 16,919.16 and 6,835.92

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Solution

The fourth proportional to 11,291.76, 16,919.16 and 6,835.92 is: 10,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.76 : 16,919.16 = 6,835.92 : x
  2. Step 2: Convert to fraction form
    11,291.76/16,919.16 = 6,835.92/x
  3. Step 3: Cross multiply
    11,291.76x = 16,919.16 × 6,835.92
  4. Step 4: Simplify right side
    11,291.76x = 115,658,051.64
  5. Step 5: Solve for x
    x = 115,658,051.64/11,291.76
  6. Step 6: Final answer
    x = 10,242.69

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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.