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Finding the Fourth Proportional to 8,514.64, 12,775.80 and 4,614.48

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Solution

The fourth proportional to 8,514.64, 12,775.80 and 4,614.48 is: 6,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.64 : 12,775.80 = 4,614.48 : x
  2. Step 2: Convert to fraction form
    8,514.64/12,775.80 = 4,614.48/x
  3. Step 3: Cross multiply
    8,514.64x = 12,775.80 × 4,614.48
  4. Step 4: Simplify right side
    8,514.64x = 58,953,673.58
  5. Step 5: Solve for x
    x = 58,953,673.58/8,514.64
  6. Step 6: Final answer
    x = 6,923.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.