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Finding the Fourth Proportional to 10,420.05, 14,379.11 and 5,703.42

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Solution

The fourth proportional to 10,420.05, 14,379.11 and 5,703.42 is: 7,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.05 : 14,379.11 = 5,703.42 : x
  2. Step 2: Convert to fraction form
    10,420.05/14,379.11 = 5,703.42/x
  3. Step 3: Cross multiply
    10,420.05x = 14,379.11 × 5,703.42
  4. Step 4: Simplify right side
    10,420.05x = 82,010,103.56
  5. Step 5: Solve for x
    x = 82,010,103.56/10,420.05
  6. Step 6: Final answer
    x = 7,870.41

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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.