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Finding the Fourth Proportional to 8,046.14, 12,068.75 and 2,202.32

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Solution

The fourth proportional to 8,046.14, 12,068.75 and 2,202.32 is: 3,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.14 : 12,068.75 = 2,202.32 : x
  2. Step 2: Convert to fraction form
    8,046.14/12,068.75 = 2,202.32/x
  3. Step 3: Cross multiply
    8,046.14x = 12,068.75 × 2,202.32
  4. Step 4: Simplify right side
    8,046.14x = 26,579,178.14
  5. Step 5: Solve for x
    x = 26,579,178.14/8,046.14
  6. Step 6: Final answer
    x = 3,303.35

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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.