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Finding the Fourth Proportional to 8,123.72, 12,185.58 and 2,859.26

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Solution

The fourth proportional to 8,123.72, 12,185.58 and 2,859.26 is: 4,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.72 : 12,185.58 = 2,859.26 : x
  2. Step 2: Convert to fraction form
    8,123.72/12,185.58 = 2,859.26/x
  3. Step 3: Cross multiply
    8,123.72x = 12,185.58 × 2,859.26
  4. Step 4: Simplify right side
    8,123.72x = 34,841,741.47
  5. Step 5: Solve for x
    x = 34,841,741.47/8,123.72
  6. Step 6: Final answer
    x = 4,288.89

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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.