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Finding the Fourth Proportional to 11,703.69, 17,558.64 and 3,384.38

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Solution

The fourth proportional to 11,703.69, 17,558.64 and 3,384.38 is: 5,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.69 : 17,558.64 = 3,384.38 : x
  2. Step 2: Convert to fraction form
    11,703.69/17,558.64 = 3,384.38/x
  3. Step 3: Cross multiply
    11,703.69x = 17,558.64 × 3,384.38
  4. Step 4: Simplify right side
    11,703.69x = 59,425,153.94
  5. Step 5: Solve for x
    x = 59,425,153.94/11,703.69
  6. Step 6: Final answer
    x = 5,077.47

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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.