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Finding the Fourth Proportional to 8,462.06, 11,677.66 and 4,736.06

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Solution

The fourth proportional to 8,462.06, 11,677.66 and 4,736.06 is: 6,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.06 : 11,677.66 = 4,736.06 : x
  2. Step 2: Convert to fraction form
    8,462.06/11,677.66 = 4,736.06/x
  3. Step 3: Cross multiply
    8,462.06x = 11,677.66 × 4,736.06
  4. Step 4: Simplify right side
    8,462.06x = 55,306,115.77
  5. Step 5: Solve for x
    x = 55,306,115.77/8,462.06
  6. Step 6: Final answer
    x = 6,535.77

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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.