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Finding the Fourth Proportional to 8,295.54, 12,445.20 and 2,451.93

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Solution

The fourth proportional to 8,295.54, 12,445.20 and 2,451.93 is: 3,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.54 : 12,445.20 = 2,451.93 : x
  2. Step 2: Convert to fraction form
    8,295.54/12,445.20 = 2,451.93/x
  3. Step 3: Cross multiply
    8,295.54x = 12,445.20 × 2,451.93
  4. Step 4: Simplify right side
    8,295.54x = 30,514,759.24
  5. Step 5: Solve for x
    x = 30,514,759.24/8,295.54
  6. Step 6: Final answer
    x = 3,678.45

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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.