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Finding the Fourth Proportional to 11,802.30, 16,289.54 and 6,769.93

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Solution

The fourth proportional to 11,802.30, 16,289.54 and 6,769.93 is: 9,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.30 : 16,289.54 = 6,769.93 : x
  2. Step 2: Convert to fraction form
    11,802.30/16,289.54 = 6,769.93/x
  3. Step 3: Cross multiply
    11,802.30x = 16,289.54 × 6,769.93
  4. Step 4: Simplify right side
    11,802.30x = 110,278,930.23
  5. Step 5: Solve for x
    x = 110,278,930.23/11,802.30
  6. Step 6: Final answer
    x = 9,343.85

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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.