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Finding the Fourth Proportional to 11,666.42, 16,093.83 and 7,686.08

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Solution

The fourth proportional to 11,666.42, 16,093.83 and 7,686.08 is: 10,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.42 : 16,093.83 = 7,686.08 : x
  2. Step 2: Convert to fraction form
    11,666.42/16,093.83 = 7,686.08/x
  3. Step 3: Cross multiply
    11,666.42x = 16,093.83 × 7,686.08
  4. Step 4: Simplify right side
    11,666.42x = 123,698,384.42
  5. Step 5: Solve for x
    x = 123,698,384.42/11,666.42
  6. Step 6: Final answer
    x = 10,602.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.