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Finding the Fourth Proportional to 7,285.50, 10,930.14 and 5,310.18

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Solution

The fourth proportional to 7,285.50, 10,930.14 and 5,310.18 is: 7,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.50 : 10,930.14 = 5,310.18 : x
  2. Step 2: Convert to fraction form
    7,285.50/10,930.14 = 5,310.18/x
  3. Step 3: Cross multiply
    7,285.50x = 10,930.14 × 5,310.18
  4. Step 4: Simplify right side
    7,285.50x = 58,041,010.83
  5. Step 5: Solve for x
    x = 58,041,010.83/7,285.50
  6. Step 6: Final answer
    x = 7,966.65

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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.