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Finding the Fourth Proportional to 11,375.91, 17,056.58 and 7,856.06

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Solution

The fourth proportional to 11,375.91, 17,056.58 and 7,856.06 is: 11,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.91 : 17,056.58 = 7,856.06 : x
  2. Step 2: Convert to fraction form
    11,375.91/17,056.58 = 7,856.06/x
  3. Step 3: Cross multiply
    11,375.91x = 17,056.58 × 7,856.06
  4. Step 4: Simplify right side
    11,375.91x = 133,997,391.31
  5. Step 5: Solve for x
    x = 133,997,391.31/11,375.91
  6. Step 6: Final answer
    x = 11,779.05

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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.