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Finding the Fourth Proportional to 10,622.69, 15,934.03 and 5,059.17

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Solution

The fourth proportional to 10,622.69, 15,934.03 and 5,059.17 is: 7,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.69 : 15,934.03 = 5,059.17 : x
  2. Step 2: Convert to fraction form
    10,622.69/15,934.03 = 5,059.17/x
  3. Step 3: Cross multiply
    10,622.69x = 15,934.03 × 5,059.17
  4. Step 4: Simplify right side
    10,622.69x = 80,612,966.56
  5. Step 5: Solve for x
    x = 80,612,966.56/10,622.69
  6. Step 6: Final answer
    x = 7,588.75

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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.