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Finding the Fourth Proportional to 11,208.51, 16,814.61 and 3,415.50

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Solution

The fourth proportional to 11,208.51, 16,814.61 and 3,415.50 is: 5,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208.51 : 16,814.61 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    11,208.51/16,814.61 = 3,415.50/x
  3. Step 3: Cross multiply
    11,208.51x = 16,814.61 × 3,415.50
  4. Step 4: Simplify right side
    11,208.51x = 57,430,300.46
  5. Step 5: Solve for x
    x = 57,430,300.46/11,208.51
  6. Step 6: Final answer
    x = 5,123.81

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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.