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Finding the Fourth Proportional to 11,245.10, 15,518.94 and 6,209.06

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Solution

The fourth proportional to 11,245.10, 15,518.94 and 6,209.06 is: 8,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.10 : 15,518.94 = 6,209.06 : x
  2. Step 2: Convert to fraction form
    11,245.10/15,518.94 = 6,209.06/x
  3. Step 3: Cross multiply
    11,245.10x = 15,518.94 × 6,209.06
  4. Step 4: Simplify right side
    11,245.10x = 96,358,029.60
  5. Step 5: Solve for x
    x = 96,358,029.60/11,245.10
  6. Step 6: Final answer
    x = 8,568.89

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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.