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Finding the Fourth Proportional to 8,482.56, 11,705.61 and 4,705.77

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Solution

The fourth proportional to 8,482.56, 11,705.61 and 4,705.77 is: 6,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.56 : 11,705.61 = 4,705.77 : x
  2. Step 2: Convert to fraction form
    8,482.56/11,705.61 = 4,705.77/x
  3. Step 3: Cross multiply
    8,482.56x = 11,705.61 × 4,705.77
  4. Step 4: Simplify right side
    8,482.56x = 55,083,908.37
  5. Step 5: Solve for x
    x = 55,083,908.37/8,482.56
  6. Step 6: Final answer
    x = 6,493.78

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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.