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Finding the Fourth Proportional to 10,137.87, 15,208.70 and 3,897.63

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Solution

The fourth proportional to 10,137.87, 15,208.70 and 3,897.63 is: 5,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.87 : 15,208.70 = 3,897.63 : x
  2. Step 2: Convert to fraction form
    10,137.87/15,208.70 = 3,897.63/x
  3. Step 3: Cross multiply
    10,137.87x = 15,208.70 × 3,897.63
  4. Step 4: Simplify right side
    10,137.87x = 59,277,885.38
  5. Step 5: Solve for x
    x = 59,277,885.38/10,137.87
  6. Step 6: Final answer
    x = 5,847.17

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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.