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Finding the Fourth Proportional to 8,730.30, 13,095.45 and 5,231.10

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Solution

The fourth proportional to 8,730.30, 13,095.45 and 5,231.10 is: 7,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.30 : 13,095.45 = 5,231.10 : x
  2. Step 2: Convert to fraction form
    8,730.30/13,095.45 = 5,231.10/x
  3. Step 3: Cross multiply
    8,730.30x = 13,095.45 × 5,231.10
  4. Step 4: Simplify right side
    8,730.30x = 68,503,608.50
  5. Step 5: Solve for x
    x = 68,503,608.50/8,730.30
  6. Step 6: Final answer
    x = 7,846.65

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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.