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Finding the Fourth Proportional to 10,905.93, 16,357.82 and 3,509.01

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Solution

The fourth proportional to 10,905.93, 16,357.82 and 3,509.01 is: 5,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.93 : 16,357.82 = 3,509.01 : x
  2. Step 2: Convert to fraction form
    10,905.93/16,357.82 = 3,509.01/x
  3. Step 3: Cross multiply
    10,905.93x = 16,357.82 × 3,509.01
  4. Step 4: Simplify right side
    10,905.93x = 57,399,736.41
  5. Step 5: Solve for x
    x = 57,399,736.41/10,905.93
  6. Step 6: Final answer
    x = 5,263.17

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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.