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Finding the Fourth Proportional to 11,549.86, 15,938.73 and 6,514.13

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Solution

The fourth proportional to 11,549.86, 15,938.73 and 6,514.13 is: 8,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.86 : 15,938.73 = 6,514.13 : x
  2. Step 2: Convert to fraction form
    11,549.86/15,938.73 = 6,514.13/x
  3. Step 3: Cross multiply
    11,549.86x = 15,938.73 × 6,514.13
  4. Step 4: Simplify right side
    11,549.86x = 103,826,879.56
  5. Step 5: Solve for x
    x = 103,826,879.56/11,549.86
  6. Step 6: Final answer
    x = 8,989.45

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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.