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Finding the Fourth Proportional to 8,124.54, 11,200.71 and 5,138.88

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Solution

The fourth proportional to 8,124.54, 11,200.71 and 5,138.88 is: 7,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.54 : 11,200.71 = 5,138.88 : x
  2. Step 2: Convert to fraction form
    8,124.54/11,200.71 = 5,138.88/x
  3. Step 3: Cross multiply
    8,124.54x = 11,200.71 × 5,138.88
  4. Step 4: Simplify right side
    8,124.54x = 57,559,104.60
  5. Step 5: Solve for x
    x = 57,559,104.60/8,124.54
  6. Step 6: Final answer
    x = 7,084.60

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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.