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Finding the Fourth Proportional to 11,910.83, 16,435.78 and 6,605.53

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Solution

The fourth proportional to 11,910.83, 16,435.78 and 6,605.53 is: 9,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.83 : 16,435.78 = 6,605.53 : x
  2. Step 2: Convert to fraction form
    11,910.83/16,435.78 = 6,605.53/x
  3. Step 3: Cross multiply
    11,910.83x = 16,435.78 × 6,605.53
  4. Step 4: Simplify right side
    11,910.83x = 108,566,980.26
  5. Step 5: Solve for x
    x = 108,566,980.26/11,910.83
  6. Step 6: Final answer
    x = 9,114.98

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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.