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Finding the Fourth Proportional to 11,557.50, 17,339.13 and 3,349.50

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Solution

The fourth proportional to 11,557.50, 17,339.13 and 3,349.50 is: 5,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.50 : 17,339.13 = 3,349.50 : x
  2. Step 2: Convert to fraction form
    11,557.50/17,339.13 = 3,349.50/x
  3. Step 3: Cross multiply
    11,557.50x = 17,339.13 × 3,349.50
  4. Step 4: Simplify right side
    11,557.50x = 58,077,415.94
  5. Step 5: Solve for x
    x = 58,077,415.94/11,557.50
  6. Step 6: Final answer
    x = 5,025.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.