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Finding the Fourth Proportional to 6,102.04, 8,425.92 and 4,119.16

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Solution

The fourth proportional to 6,102.04, 8,425.92 and 4,119.16 is: 5,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.04 : 8,425.92 = 4,119.16 : x
  2. Step 2: Convert to fraction form
    6,102.04/8,425.92 = 4,119.16/x
  3. Step 3: Cross multiply
    6,102.04x = 8,425.92 × 4,119.16
  4. Step 4: Simplify right side
    6,102.04x = 34,707,712.63
  5. Step 5: Solve for x
    x = 34,707,712.63/6,102.04
  6. Step 6: Final answer
    x = 5,687.89

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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.