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Finding the Fourth Proportional to 11,246.85, 16,806.29 and 8,417.39

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Solution

The fourth proportional to 11,246.85, 16,806.29 and 8,417.39 is: 12,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.85 : 16,806.29 = 8,417.39 : x
  2. Step 2: Convert to fraction form
    11,246.85/16,806.29 = 8,417.39/x
  3. Step 3: Cross multiply
    11,246.85x = 16,806.29 × 8,417.39
  4. Step 4: Simplify right side
    11,246.85x = 141,464,971.26
  5. Step 5: Solve for x
    x = 141,464,971.26/11,246.85
  6. Step 6: Final answer
    x = 12,578.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.