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Finding the Fourth Proportional to 11,166.12, 15,409.71 and 6,386.85

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Solution

The fourth proportional to 11,166.12, 15,409.71 and 6,386.85 is: 8,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.12 : 15,409.71 = 6,386.85 : x
  2. Step 2: Convert to fraction form
    11,166.12/15,409.71 = 6,386.85/x
  3. Step 3: Cross multiply
    11,166.12x = 15,409.71 × 6,386.85
  4. Step 4: Simplify right side
    11,166.12x = 98,419,506.31
  5. Step 5: Solve for x
    x = 98,419,506.31/11,166.12
  6. Step 6: Final answer
    x = 8,814.12

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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.