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Finding the Fourth Proportional to 8,538.38, 12,807.62 and 4,152.08

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Solution

The fourth proportional to 8,538.38, 12,807.62 and 4,152.08 is: 6,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.38 : 12,807.62 = 4,152.08 : x
  2. Step 2: Convert to fraction form
    8,538.38/12,807.62 = 4,152.08/x
  3. Step 3: Cross multiply
    8,538.38x = 12,807.62 × 4,152.08
  4. Step 4: Simplify right side
    8,538.38x = 53,178,262.85
  5. Step 5: Solve for x
    x = 53,178,262.85/8,538.38
  6. Step 6: Final answer
    x = 6,228.14

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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.