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Finding the Fourth Proportional to 8,329.10, 11,500.77 and 5,147.01

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Solution

The fourth proportional to 8,329.10, 11,500.77 and 5,147.01 is: 7,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.10 : 11,500.77 = 5,147.01 : x
  2. Step 2: Convert to fraction form
    8,329.10/11,500.77 = 5,147.01/x
  3. Step 3: Cross multiply
    8,329.10x = 11,500.77 × 5,147.01
  4. Step 4: Simplify right side
    8,329.10x = 59,194,578.20
  5. Step 5: Solve for x
    x = 59,194,578.20/8,329.10
  6. Step 6: Final answer
    x = 7,106.96

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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.