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Finding the Fourth Proportional to 7,602.33, 11,402.11 and 2,671.33

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Solution

The fourth proportional to 7,602.33, 11,402.11 and 2,671.33 is: 4,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.33 : 11,402.11 = 2,671.33 : x
  2. Step 2: Convert to fraction form
    7,602.33/11,402.11 = 2,671.33/x
  3. Step 3: Cross multiply
    7,602.33x = 11,402.11 × 2,671.33
  4. Step 4: Simplify right side
    7,602.33x = 30,458,798.51
  5. Step 5: Solve for x
    x = 30,458,798.51/7,602.33
  6. Step 6: Final answer
    x = 4,006.51

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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.