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Finding the Fourth Proportional to 10,705.55, 16,062.13 and 4,781.90

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Solution

The fourth proportional to 10,705.55, 16,062.13 and 4,781.90 is: 7,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.55 : 16,062.13 = 4,781.90 : x
  2. Step 2: Convert to fraction form
    10,705.55/16,062.13 = 4,781.90/x
  3. Step 3: Cross multiply
    10,705.55x = 16,062.13 × 4,781.90
  4. Step 4: Simplify right side
    10,705.55x = 76,807,467.73
  5. Step 5: Solve for x
    x = 76,807,467.73/10,705.55
  6. Step 6: Final answer
    x = 7,174.54

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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.