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Finding the Fourth Proportional to 6,078.16, 9,118.32 and 2,182.48

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Solution

The fourth proportional to 6,078.16, 9,118.32 and 2,182.48 is: 3,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.16 : 9,118.32 = 2,182.48 : x
  2. Step 2: Convert to fraction form
    6,078.16/9,118.32 = 2,182.48/x
  3. Step 3: Cross multiply
    6,078.16x = 9,118.32 × 2,182.48
  4. Step 4: Simplify right side
    6,078.16x = 19,900,551.03
  5. Step 5: Solve for x
    x = 19,900,551.03/6,078.16
  6. Step 6: Final answer
    x = 3,274.11

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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.