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Finding the Fourth Proportional to 8,514.62, 11,750.40 and 4,738.04

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Solution

The fourth proportional to 8,514.62, 11,750.40 and 4,738.04 is: 6,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.62 : 11,750.40 = 4,738.04 : x
  2. Step 2: Convert to fraction form
    8,514.62/11,750.40 = 4,738.04/x
  3. Step 3: Cross multiply
    8,514.62x = 11,750.40 × 4,738.04
  4. Step 4: Simplify right side
    8,514.62x = 55,673,865.22
  5. Step 5: Solve for x
    x = 55,673,865.22/8,514.62
  6. Step 6: Final answer
    x = 6,538.62

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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.