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Finding the Fourth Proportional to 10,608.50, 15,906.90 and 7,280.66

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Solution

The fourth proportional to 10,608.50, 15,906.90 and 7,280.66 is: 10,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.50 : 15,906.90 = 7,280.66 : x
  2. Step 2: Convert to fraction form
    10,608.50/15,906.90 = 7,280.66/x
  3. Step 3: Cross multiply
    10,608.50x = 15,906.90 × 7,280.66
  4. Step 4: Simplify right side
    10,608.50x = 115,812,730.55
  5. Step 5: Solve for x
    x = 115,812,730.55/10,608.50
  6. Step 6: Final answer
    x = 10,916.98

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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.