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Finding the Fourth Proportional to 10,602.82, 15,907.31 and 4,274.43

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Solution

The fourth proportional to 10,602.82, 15,907.31 and 4,274.43 is: 6,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.82 : 15,907.31 = 4,274.43 : x
  2. Step 2: Convert to fraction form
    10,602.82/15,907.31 = 4,274.43/x
  3. Step 3: Cross multiply
    10,602.82x = 15,907.31 × 4,274.43
  4. Step 4: Simplify right side
    10,602.82x = 67,994,737.39
  5. Step 5: Solve for x
    x = 67,994,737.39/10,602.82
  6. Step 6: Final answer
    x = 6,412.89

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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.