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Finding the Fourth Proportional to 11,651.50, 16,076.28 and 6,805.48

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Solution

The fourth proportional to 11,651.50, 16,076.28 and 6,805.48 is: 9,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.50 : 16,076.28 = 6,805.48 : x
  2. Step 2: Convert to fraction form
    11,651.50/16,076.28 = 6,805.48/x
  3. Step 3: Cross multiply
    11,651.50x = 16,076.28 × 6,805.48
  4. Step 4: Simplify right side
    11,651.50x = 109,406,802.01
  5. Step 5: Solve for x
    x = 109,406,802.01/11,651.50
  6. Step 6: Final answer
    x = 9,389.93

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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.