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Finding the Fourth Proportional to 8,512.93, 12,776.34 and 4,130.38

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Solution

The fourth proportional to 8,512.93, 12,776.34 and 4,130.38 is: 6,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.93 : 12,776.34 = 4,130.38 : x
  2. Step 2: Convert to fraction form
    8,512.93/12,776.34 = 4,130.38/x
  3. Step 3: Cross multiply
    8,512.93x = 12,776.34 × 4,130.38
  4. Step 4: Simplify right side
    8,512.93x = 52,771,139.21
  5. Step 5: Solve for x
    x = 52,771,139.21/8,512.93
  6. Step 6: Final answer
    x = 6,198.94

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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.