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Finding the Fourth Proportional to 11,805.49, 16,292.28 and 6,500.62

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Solution

The fourth proportional to 11,805.49, 16,292.28 and 6,500.62 is: 8,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.49 : 16,292.28 = 6,500.62 : x
  2. Step 2: Convert to fraction form
    11,805.49/16,292.28 = 6,500.62/x
  3. Step 3: Cross multiply
    11,805.49x = 16,292.28 × 6,500.62
  4. Step 4: Simplify right side
    11,805.49x = 105,909,921.21
  5. Step 5: Solve for x
    x = 105,909,921.21/11,805.49
  6. Step 6: Final answer
    x = 8,971.24

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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.