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Finding the Fourth Proportional to 10,419.56, 14,379.01 and 5,703.86

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Solution

The fourth proportional to 10,419.56, 14,379.01 and 5,703.86 is: 7,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.56 : 14,379.01 = 5,703.86 : x
  2. Step 2: Convert to fraction form
    10,419.56/14,379.01 = 5,703.86/x
  3. Step 3: Cross multiply
    10,419.56x = 14,379.01 × 5,703.86
  4. Step 4: Simplify right side
    10,419.56x = 82,015,773.82
  5. Step 5: Solve for x
    x = 82,015,773.82/10,419.56
  6. Step 6: Final answer
    x = 7,871.33

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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.