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Finding the Fourth Proportional to 10,505.09, 15,744.58 and 6,991.92

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Solution

The fourth proportional to 10,505.09, 15,744.58 and 6,991.92 is: 10,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.09 : 15,744.58 = 6,991.92 : x
  2. Step 2: Convert to fraction form
    10,505.09/15,744.58 = 6,991.92/x
  3. Step 3: Cross multiply
    10,505.09x = 15,744.58 × 6,991.92
  4. Step 4: Simplify right side
    10,505.09x = 110,084,826.31
  5. Step 5: Solve for x
    x = 110,084,826.31/10,505.09
  6. Step 6: Final answer
    x = 10,479.19

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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.