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Finding the Fourth Proportional to 8,344.31, 11,515.16 and 5,200.50

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Solution

The fourth proportional to 8,344.31, 11,515.16 and 5,200.50 is: 7,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.31 : 11,515.16 = 5,200.50 : x
  2. Step 2: Convert to fraction form
    8,344.31/11,515.16 = 5,200.50/x
  3. Step 3: Cross multiply
    8,344.31x = 11,515.16 × 5,200.50
  4. Step 4: Simplify right side
    8,344.31x = 59,884,602.58
  5. Step 5: Solve for x
    x = 59,884,602.58/8,344.31
  6. Step 6: Final answer
    x = 7,176.70

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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.