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Finding the Fourth Proportional to 10,048.56, 13,867.56 and 6,514.80

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Solution

The fourth proportional to 10,048.56, 13,867.56 and 6,514.80 is: 8,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.56 : 13,867.56 = 6,514.80 : x
  2. Step 2: Convert to fraction form
    10,048.56/13,867.56 = 6,514.80/x
  3. Step 3: Cross multiply
    10,048.56x = 13,867.56 × 6,514.80
  4. Step 4: Simplify right side
    10,048.56x = 90,344,379.89
  5. Step 5: Solve for x
    x = 90,344,379.89/10,048.56
  6. Step 6: Final answer
    x = 8,990.78

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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.