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Finding the Fourth Proportional to 8,191.98, 11,304.90 and 4,656.33

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Solution

The fourth proportional to 8,191.98, 11,304.90 and 4,656.33 is: 6,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.98 : 11,304.90 = 4,656.33 : x
  2. Step 2: Convert to fraction form
    8,191.98/11,304.90 = 4,656.33/x
  3. Step 3: Cross multiply
    8,191.98x = 11,304.90 × 4,656.33
  4. Step 4: Simplify right side
    8,191.98x = 52,639,345.02
  5. Step 5: Solve for x
    x = 52,639,345.02/8,191.98
  6. Step 6: Final answer
    x = 6,425.72

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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.