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Finding the Fourth Proportional to 8,095.67, 12,140.03 and 2,829.10

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Solution

The fourth proportional to 8,095.67, 12,140.03 and 2,829.10 is: 4,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.67 : 12,140.03 = 2,829.10 : x
  2. Step 2: Convert to fraction form
    8,095.67/12,140.03 = 2,829.10/x
  3. Step 3: Cross multiply
    8,095.67x = 12,140.03 × 2,829.10
  4. Step 4: Simplify right side
    8,095.67x = 34,345,358.87
  5. Step 5: Solve for x
    x = 34,345,358.87/8,095.67
  6. Step 6: Final answer
    x = 4,242.44

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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.