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Finding the Fourth Proportional to 11,599.45, 16,007.16 and 6,294.31

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Solution

The fourth proportional to 11,599.45, 16,007.16 and 6,294.31 is: 8,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.45 : 16,007.16 = 6,294.31 : x
  2. Step 2: Convert to fraction form
    11,599.45/16,007.16 = 6,294.31/x
  3. Step 3: Cross multiply
    11,599.45x = 16,007.16 × 6,294.31
  4. Step 4: Simplify right side
    11,599.45x = 100,754,027.26
  5. Step 5: Solve for x
    x = 100,754,027.26/11,599.45
  6. Step 6: Final answer
    x = 8,686.10

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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.