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Finding the Fourth Proportional to 10,535.99, 14,508.32 and 7,546.68

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Solution

The fourth proportional to 10,535.99, 14,508.32 and 7,546.68 is: 10,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.99 : 14,508.32 = 7,546.68 : x
  2. Step 2: Convert to fraction form
    10,535.99/14,508.32 = 7,546.68/x
  3. Step 3: Cross multiply
    10,535.99x = 14,508.32 × 7,546.68
  4. Step 4: Simplify right side
    10,535.99x = 109,489,610.64
  5. Step 5: Solve for x
    x = 109,489,610.64/10,535.99
  6. Step 6: Final answer
    x = 10,391.97

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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.