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Finding the Fourth Proportional to 10,499.82, 14,485.07 and 7,095.75

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Solution

The fourth proportional to 10,499.82, 14,485.07 and 7,095.75 is: 9,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.82 : 14,485.07 = 7,095.75 : x
  2. Step 2: Convert to fraction form
    10,499.82/14,485.07 = 7,095.75/x
  3. Step 3: Cross multiply
    10,499.82x = 14,485.07 × 7,095.75
  4. Step 4: Simplify right side
    10,499.82x = 102,782,399.97
  5. Step 5: Solve for x
    x = 102,782,399.97/10,499.82
  6. Step 6: Final answer
    x = 9,788.97

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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.