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Finding the Fourth Proportional to 11,909.94, 16,435.71 and 6,605.10

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Solution

The fourth proportional to 11,909.94, 16,435.71 and 6,605.10 is: 9,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.94 : 16,435.71 = 6,605.10 : x
  2. Step 2: Convert to fraction form
    11,909.94/16,435.71 = 6,605.10/x
  3. Step 3: Cross multiply
    11,909.94x = 16,435.71 × 6,605.10
  4. Step 4: Simplify right side
    11,909.94x = 108,559,508.12
  5. Step 5: Solve for x
    x = 108,559,508.12/11,909.94
  6. Step 6: Final answer
    x = 9,115.03

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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.