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Finding the Fourth Proportional to 11,077.94, 16,598.11 and 6,686.17

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Solution

The fourth proportional to 11,077.94, 16,598.11 and 6,686.17 is: 10,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.94 : 16,598.11 = 6,686.17 : x
  2. Step 2: Convert to fraction form
    11,077.94/16,598.11 = 6,686.17/x
  3. Step 3: Cross multiply
    11,077.94x = 16,598.11 × 6,686.17
  4. Step 4: Simplify right side
    11,077.94x = 110,977,668.72
  5. Step 5: Solve for x
    x = 110,977,668.72/11,077.94
  6. Step 6: Final answer
    x = 10,017.90

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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.