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Finding the Fourth Proportional to 10,338.49, 15,509.88 and 5,406.79

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Solution

The fourth proportional to 10,338.49, 15,509.88 and 5,406.79 is: 8,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.49 : 15,509.88 = 5,406.79 : x
  2. Step 2: Convert to fraction form
    10,338.49/15,509.88 = 5,406.79/x
  3. Step 3: Cross multiply
    10,338.49x = 15,509.88 × 5,406.79
  4. Step 4: Simplify right side
    10,338.49x = 83,858,664.09
  5. Step 5: Solve for x
    x = 83,858,664.09/10,338.49
  6. Step 6: Final answer
    x = 8,111.31

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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.