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Finding the Fourth Proportional to 11,600.48, 17,386.46 and 4,573.44

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Solution

The fourth proportional to 11,600.48, 17,386.46 and 4,573.44 is: 6,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.48 : 17,386.46 = 4,573.44 : x
  2. Step 2: Convert to fraction form
    11,600.48/17,386.46 = 4,573.44/x
  3. Step 3: Cross multiply
    11,600.48x = 17,386.46 × 4,573.44
  4. Step 4: Simplify right side
    11,600.48x = 79,515,908.76
  5. Step 5: Solve for x
    x = 79,515,908.76/11,600.48
  6. Step 6: Final answer
    x = 6,854.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.