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Finding the Fourth Proportional to 11,878.76, 17,812.98 and 5,640.56

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Solution

The fourth proportional to 11,878.76, 17,812.98 and 5,640.56 is: 8,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.76 : 17,812.98 = 5,640.56 : x
  2. Step 2: Convert to fraction form
    11,878.76/17,812.98 = 5,640.56/x
  3. Step 3: Cross multiply
    11,878.76x = 17,812.98 × 5,640.56
  4. Step 4: Simplify right side
    11,878.76x = 100,475,182.47
  5. Step 5: Solve for x
    x = 100,475,182.47/11,878.76
  6. Step 6: Final answer
    x = 8,458.39

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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.