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Finding the Fourth Proportional to 8,536.38, 12,804.62 and 4,150.08

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Solution

The fourth proportional to 8,536.38, 12,804.62 and 4,150.08 is: 6,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.38 : 12,804.62 = 4,150.08 : x
  2. Step 2: Convert to fraction form
    8,536.38/12,804.62 = 4,150.08/x
  3. Step 3: Cross multiply
    8,536.38x = 12,804.62 × 4,150.08
  4. Step 4: Simplify right side
    8,536.38x = 53,140,197.37
  5. Step 5: Solve for x
    x = 53,140,197.37/8,536.38
  6. Step 6: Final answer
    x = 6,225.14

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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.