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Finding the Fourth Proportional to 11,544.96, 15,930.01 and 6,827.52

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Solution

The fourth proportional to 11,544.96, 15,930.01 and 6,827.52 is: 9,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.96 : 15,930.01 = 6,827.52 : x
  2. Step 2: Convert to fraction form
    11,544.96/15,930.01 = 6,827.52/x
  3. Step 3: Cross multiply
    11,544.96x = 15,930.01 × 6,827.52
  4. Step 4: Simplify right side
    11,544.96x = 108,762,461.88
  5. Step 5: Solve for x
    x = 108,762,461.88/11,544.96
  6. Step 6: Final answer
    x = 9,420.77

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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.