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Finding the Fourth Proportional to 10,048.98, 13,866.90 and 5,800.22

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Solution

The fourth proportional to 10,048.98, 13,866.90 and 5,800.22 is: 8,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.98 : 13,866.90 = 5,800.22 : x
  2. Step 2: Convert to fraction form
    10,048.98/13,866.90 = 5,800.22/x
  3. Step 3: Cross multiply
    10,048.98x = 13,866.90 × 5,800.22
  4. Step 4: Simplify right side
    10,048.98x = 80,431,070.72
  5. Step 5: Solve for x
    x = 80,431,070.72/10,048.98
  6. Step 6: Final answer
    x = 8,003.90

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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.