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Finding the Fourth Proportional to 11,808.96, 17,714.36 and 4,785.65

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Solution

The fourth proportional to 11,808.96, 17,714.36 and 4,785.65 is: 7,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.96 : 17,714.36 = 4,785.65 : x
  2. Step 2: Convert to fraction form
    11,808.96/17,714.36 = 4,785.65/x
  3. Step 3: Cross multiply
    11,808.96x = 17,714.36 × 4,785.65
  4. Step 4: Simplify right side
    11,808.96x = 84,774,783.18
  5. Step 5: Solve for x
    x = 84,774,783.18/11,808.96
  6. Step 6: Final answer
    x = 7,178.85

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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.