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Finding the Fourth Proportional to 10,238.48, 14,129.18 and 6,048.80

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Solution

The fourth proportional to 10,238.48, 14,129.18 and 6,048.80 is: 8,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.48 : 14,129.18 = 6,048.80 : x
  2. Step 2: Convert to fraction form
    10,238.48/14,129.18 = 6,048.80/x
  3. Step 3: Cross multiply
    10,238.48x = 14,129.18 × 6,048.80
  4. Step 4: Simplify right side
    10,238.48x = 85,464,583.98
  5. Step 5: Solve for x
    x = 85,464,583.98/10,238.48
  6. Step 6: Final answer
    x = 8,347.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.