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Finding the Fourth Proportional to 11,602.66, 17,402.95 and 3,282.49

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Solution

The fourth proportional to 11,602.66, 17,402.95 and 3,282.49 is: 4,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.66 : 17,402.95 = 3,282.49 : x
  2. Step 2: Convert to fraction form
    11,602.66/17,402.95 = 3,282.49/x
  3. Step 3: Cross multiply
    11,602.66x = 17,402.95 × 3,282.49
  4. Step 4: Simplify right side
    11,602.66x = 57,124,957.63
  5. Step 5: Solve for x
    x = 57,124,957.63/11,602.66
  6. Step 6: Final answer
    x = 4,923.44

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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.