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Finding the Fourth Proportional to 10,391.63, 15,591.99 and 5,460.11

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Solution

The fourth proportional to 10,391.63, 15,591.99 and 5,460.11 is: 8,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.63 : 15,591.99 = 5,460.11 : x
  2. Step 2: Convert to fraction form
    10,391.63/15,591.99 = 5,460.11/x
  3. Step 3: Cross multiply
    10,391.63x = 15,591.99 × 5,460.11
  4. Step 4: Simplify right side
    10,391.63x = 85,133,981.50
  5. Step 5: Solve for x
    x = 85,133,981.50/10,391.63
  6. Step 6: Final answer
    x = 8,192.56

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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.