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Finding the Fourth Proportional to 8,095.76, 12,133.12 and 3,650.16

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Solution

The fourth proportional to 8,095.76, 12,133.12 and 3,650.16 is: 5,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.76 : 12,133.12 = 3,650.16 : x
  2. Step 2: Convert to fraction form
    8,095.76/12,133.12 = 3,650.16/x
  3. Step 3: Cross multiply
    8,095.76x = 12,133.12 × 3,650.16
  4. Step 4: Simplify right side
    8,095.76x = 44,287,829.30
  5. Step 5: Solve for x
    x = 44,287,829.30/8,095.76
  6. Step 6: Final answer
    x = 5,470.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.