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Finding the Fourth Proportional to 10,420.65, 14,379.93 and 5,704.02

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Solution

The fourth proportional to 10,420.65, 14,379.93 and 5,704.02 is: 7,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.65 : 14,379.93 = 5,704.02 : x
  2. Step 2: Convert to fraction form
    10,420.65/14,379.93 = 5,704.02/x
  3. Step 3: Cross multiply
    10,420.65x = 14,379.93 × 5,704.02
  4. Step 4: Simplify right side
    10,420.65x = 82,023,408.32
  5. Step 5: Solve for x
    x = 82,023,408.32/10,420.65
  6. Step 6: Final answer
    x = 7,871.24

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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.