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Finding the Fourth Proportional to 11,599.64, 16,007.81 and 6,294.46

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Solution

The fourth proportional to 11,599.64, 16,007.81 and 6,294.46 is: 8,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.64 : 16,007.81 = 6,294.46 : x
  2. Step 2: Convert to fraction form
    11,599.64/16,007.81 = 6,294.46/x
  3. Step 3: Cross multiply
    11,599.64x = 16,007.81 × 6,294.46
  4. Step 4: Simplify right side
    11,599.64x = 100,760,535.47
  5. Step 5: Solve for x
    x = 100,760,535.47/11,599.64
  6. Step 6: Final answer
    x = 8,686.52

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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.