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Finding the Fourth Proportional to 7,713.54, 11,548.80 and 5,833.62

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Solution

The fourth proportional to 7,713.54, 11,548.80 and 5,833.62 is: 8,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.54 : 11,548.80 = 5,833.62 : x
  2. Step 2: Convert to fraction form
    7,713.54/11,548.80 = 5,833.62/x
  3. Step 3: Cross multiply
    7,713.54x = 11,548.80 × 5,833.62
  4. Step 4: Simplify right side
    7,713.54x = 67,371,310.66
  5. Step 5: Solve for x
    x = 67,371,310.66/7,713.54
  6. Step 6: Final answer
    x = 8,734.16

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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.