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Finding the Fourth Proportional to 10,029.21, 13,838.91 and 5,779.93

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Solution

The fourth proportional to 10,029.21, 13,838.91 and 5,779.93 is: 7,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.21 : 13,838.91 = 5,779.93 : x
  2. Step 2: Convert to fraction form
    10,029.21/13,838.91 = 5,779.93/x
  3. Step 3: Cross multiply
    10,029.21x = 13,838.91 × 5,779.93
  4. Step 4: Simplify right side
    10,029.21x = 79,987,832.98
  5. Step 5: Solve for x
    x = 79,987,832.98/10,029.21
  6. Step 6: Final answer
    x = 7,975.49

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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.