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Finding the Fourth Proportional to 11,544.63, 15,931.64 and 6,239.49

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Solution

The fourth proportional to 11,544.63, 15,931.64 and 6,239.49 is: 8,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.63 : 15,931.64 = 6,239.49 : x
  2. Step 2: Convert to fraction form
    11,544.63/15,931.64 = 6,239.49/x
  3. Step 3: Cross multiply
    11,544.63x = 15,931.64 × 6,239.49
  4. Step 4: Simplify right side
    11,544.63x = 99,405,277.27
  5. Step 5: Solve for x
    x = 99,405,277.27/11,544.63
  6. Step 6: Final answer
    x = 8,610.52

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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.