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Finding the Fourth Proportional to 10,686.87, 16,028.80 and 3,666.77

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Solution

The fourth proportional to 10,686.87, 16,028.80 and 3,666.77 is: 5,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.87 : 16,028.80 = 3,666.77 : x
  2. Step 2: Convert to fraction form
    10,686.87/16,028.80 = 3,666.77/x
  3. Step 3: Cross multiply
    10,686.87x = 16,028.80 × 3,666.77
  4. Step 4: Simplify right side
    10,686.87x = 58,773,824.50
  5. Step 5: Solve for x
    x = 58,773,824.50/10,686.87
  6. Step 6: Final answer
    x = 5,499.63

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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.