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Finding the Fourth Proportional to 10,553.63, 15,834.10 and 7,057.67

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Solution

The fourth proportional to 10,553.63, 15,834.10 and 7,057.67 is: 10,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.63 : 15,834.10 = 7,057.67 : x
  2. Step 2: Convert to fraction form
    10,553.63/15,834.10 = 7,057.67/x
  3. Step 3: Cross multiply
    10,553.63x = 15,834.10 × 7,057.67
  4. Step 4: Simplify right side
    10,553.63x = 111,751,874.49
  5. Step 5: Solve for x
    x = 111,751,874.49/10,553.63
  6. Step 6: Final answer
    x = 10,588.95

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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.