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Finding the Fourth Proportional to 11,544.22, 15,930.06 and 6,509.68

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Solution

The fourth proportional to 11,544.22, 15,930.06 and 6,509.68 is: 8,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.22 : 15,930.06 = 6,509.68 : x
  2. Step 2: Convert to fraction form
    11,544.22/15,930.06 = 6,509.68/x
  3. Step 3: Cross multiply
    11,544.22x = 15,930.06 × 6,509.68
  4. Step 4: Simplify right side
    11,544.22x = 103,699,592.98
  5. Step 5: Solve for x
    x = 103,699,592.98/11,544.22
  6. Step 6: Final answer
    x = 8,982.82

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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.