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Finding the Fourth Proportional to 6,007.12, 8,288.96 and 3,354.16

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Solution

The fourth proportional to 6,007.12, 8,288.96 and 3,354.16 is: 4,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.12 : 8,288.96 = 3,354.16 : x
  2. Step 2: Convert to fraction form
    6,007.12/8,288.96 = 3,354.16/x
  3. Step 3: Cross multiply
    6,007.12x = 8,288.96 × 3,354.16
  4. Step 4: Simplify right side
    6,007.12x = 27,802,498.07
  5. Step 5: Solve for x
    x = 27,802,498.07/6,007.12
  6. Step 6: Final answer
    x = 4,628.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.