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Finding the Fourth Proportional to 8,538.24, 12,807.12 and 3,340.32

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Solution

The fourth proportional to 8,538.24, 12,807.12 and 3,340.32 is: 5,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.24 : 12,807.12 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    8,538.24/12,807.12 = 3,340.32/x
  3. Step 3: Cross multiply
    8,538.24x = 12,807.12 × 3,340.32
  4. Step 4: Simplify right side
    8,538.24x = 42,779,879.08
  5. Step 5: Solve for x
    x = 42,779,879.08/8,538.24
  6. Step 6: Final answer
    x = 5,010.39

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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.