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Finding the Fourth Proportional to 8,345.02, 12,517.54 and 2,502.50

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Solution

The fourth proportional to 8,345.02, 12,517.54 and 2,502.50 is: 3,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.02 : 12,517.54 = 2,502.50 : x
  2. Step 2: Convert to fraction form
    8,345.02/12,517.54 = 2,502.50/x
  3. Step 3: Cross multiply
    8,345.02x = 12,517.54 × 2,502.50
  4. Step 4: Simplify right side
    8,345.02x = 31,325,143.85
  5. Step 5: Solve for x
    x = 31,325,143.85/8,345.02
  6. Step 6: Final answer
    x = 3,753.75

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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.