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Finding the Fourth Proportional to 10,007.69, 14,998.10 and 7,789.19

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Solution

The fourth proportional to 10,007.69, 14,998.10 and 7,789.19 is: 11,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.69 : 14,998.10 = 7,789.19 : x
  2. Step 2: Convert to fraction form
    10,007.69/14,998.10 = 7,789.19/x
  3. Step 3: Cross multiply
    10,007.69x = 14,998.10 × 7,789.19
  4. Step 4: Simplify right side
    10,007.69x = 116,822,936.60
  5. Step 5: Solve for x
    x = 116,822,936.60/10,007.69
  6. Step 6: Final answer
    x = 11,673.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.