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Finding the Fourth Proportional to 8,514.64, 11,751.24 and 5,157.37

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Solution

The fourth proportional to 8,514.64, 11,751.24 and 5,157.37 is: 7,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.64 : 11,751.24 = 5,157.37 : x
  2. Step 2: Convert to fraction form
    8,514.64/11,751.24 = 5,157.37/x
  3. Step 3: Cross multiply
    8,514.64x = 11,751.24 × 5,157.37
  4. Step 4: Simplify right side
    8,514.64x = 60,605,526.67
  5. Step 5: Solve for x
    x = 60,605,526.67/8,514.64
  6. Step 6: Final answer
    x = 7,117.80

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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.