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Finding the Fourth Proportional to 6,098.63, 8,416.13 and 3,304.13

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Solution

The fourth proportional to 6,098.63, 8,416.13 and 3,304.13 is: 4,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.63 : 8,416.13 = 3,304.13 : x
  2. Step 2: Convert to fraction form
    6,098.63/8,416.13 = 3,304.13/x
  3. Step 3: Cross multiply
    6,098.63x = 8,416.13 × 3,304.13
  4. Step 4: Simplify right side
    6,098.63x = 27,807,929.02
  5. Step 5: Solve for x
    x = 27,807,929.02/6,098.63
  6. Step 6: Final answer
    x = 4,559.70

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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.