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Finding the Fourth Proportional to 8,482.24, 11,705.19 and 4,705.57

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Solution

The fourth proportional to 8,482.24, 11,705.19 and 4,705.57 is: 6,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.24 : 11,705.19 = 4,705.57 : x
  2. Step 2: Convert to fraction form
    8,482.24/11,705.19 = 4,705.57/x
  3. Step 3: Cross multiply
    8,482.24x = 11,705.19 × 4,705.57
  4. Step 4: Simplify right side
    8,482.24x = 55,079,587.89
  5. Step 5: Solve for x
    x = 55,079,587.89/8,482.24
  6. Step 6: Final answer
    x = 6,493.52

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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.