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Finding the Fourth Proportional to 10,513.77, 15,766.20 and 3,935.37

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Solution

The fourth proportional to 10,513.77, 15,766.20 and 3,935.37 is: 5,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.77 : 15,766.20 = 3,935.37 : x
  2. Step 2: Convert to fraction form
    10,513.77/15,766.20 = 3,935.37/x
  3. Step 3: Cross multiply
    10,513.77x = 15,766.20 × 3,935.37
  4. Step 4: Simplify right side
    10,513.77x = 62,045,830.49
  5. Step 5: Solve for x
    x = 62,045,830.49/10,513.77
  6. Step 6: Final answer
    x = 5,901.39

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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.