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Finding the Fourth Proportional to 10,213.86, 15,313.00 and 5,280.35

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Solution

The fourth proportional to 10,213.86, 15,313.00 and 5,280.35 is: 7,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.86 : 15,313.00 = 5,280.35 : x
  2. Step 2: Convert to fraction form
    10,213.86/15,313.00 = 5,280.35/x
  3. Step 3: Cross multiply
    10,213.86x = 15,313.00 × 5,280.35
  4. Step 4: Simplify right side
    10,213.86x = 80,858,020.67
  5. Step 5: Solve for x
    x = 80,858,020.67/10,213.86
  6. Step 6: Final answer
    x = 7,916.50

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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.