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Finding the Fourth Proportional to 11,808.33, 16,295.60 and 6,503.16

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Solution

The fourth proportional to 11,808.33, 16,295.60 and 6,503.16 is: 8,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.33 : 16,295.60 = 6,503.16 : x
  2. Step 2: Convert to fraction form
    11,808.33/16,295.60 = 6,503.16/x
  3. Step 3: Cross multiply
    11,808.33x = 16,295.60 × 6,503.16
  4. Step 4: Simplify right side
    11,808.33x = 105,972,894.10
  5. Step 5: Solve for x
    x = 105,972,894.10/11,808.33
  6. Step 6: Final answer
    x = 8,974.42

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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.