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Finding the Fourth Proportional to 11,599.80, 16,007.76 and 6,294.62

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Solution

The fourth proportional to 11,599.80, 16,007.76 and 6,294.62 is: 8,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.80 : 16,007.76 = 6,294.62 : x
  2. Step 2: Convert to fraction form
    11,599.80/16,007.76 = 6,294.62/x
  3. Step 3: Cross multiply
    11,599.80x = 16,007.76 × 6,294.62
  4. Step 4: Simplify right side
    11,599.80x = 100,762,709.82
  5. Step 5: Solve for x
    x = 100,762,709.82/11,599.80
  6. Step 6: Final answer
    x = 8,686.59

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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.