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Finding the Fourth Proportional to 8,514.72, 12,735.36 and 6,562.08

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Solution

The fourth proportional to 8,514.72, 12,735.36 and 6,562.08 is: 9,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.72 : 12,735.36 = 6,562.08 : x
  2. Step 2: Convert to fraction form
    8,514.72/12,735.36 = 6,562.08/x
  3. Step 3: Cross multiply
    8,514.72x = 12,735.36 × 6,562.08
  4. Step 4: Simplify right side
    8,514.72x = 83,570,451.15
  5. Step 5: Solve for x
    x = 83,570,451.15/8,514.72
  6. Step 6: Final answer
    x = 9,814.82

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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.