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Finding the Fourth Proportional to 11,622.96, 16,041.29 and 6,589.17

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Solution

The fourth proportional to 11,622.96, 16,041.29 and 6,589.17 is: 9,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.96 : 16,041.29 = 6,589.17 : x
  2. Step 2: Convert to fraction form
    11,622.96/16,041.29 = 6,589.17/x
  3. Step 3: Cross multiply
    11,622.96x = 16,041.29 × 6,589.17
  4. Step 4: Simplify right side
    11,622.96x = 105,698,753.88
  5. Step 5: Solve for x
    x = 105,698,753.88/11,622.96
  6. Step 6: Final answer
    x = 9,093.96

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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.