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Finding the Fourth Proportional to 10,420.26, 14,379.41 and 5,703.63

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Solution

The fourth proportional to 10,420.26, 14,379.41 and 5,703.63 is: 7,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.26 : 14,379.41 = 5,703.63 : x
  2. Step 2: Convert to fraction form
    10,420.26/14,379.41 = 5,703.63/x
  3. Step 3: Cross multiply
    10,420.26x = 14,379.41 × 5,703.63
  4. Step 4: Simplify right side
    10,420.26x = 82,014,805.74
  5. Step 5: Solve for x
    x = 82,014,805.74/10,420.26
  6. Step 6: Final answer
    x = 7,870.71

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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.