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Finding the Fourth Proportional to 10,622.92, 15,934.92 and 4,047.88

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Solution

The fourth proportional to 10,622.92, 15,934.92 and 4,047.88 is: 6,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.92 : 15,934.92 = 4,047.88 : x
  2. Step 2: Convert to fraction form
    10,622.92/15,934.92 = 4,047.88/x
  3. Step 3: Cross multiply
    10,622.92x = 15,934.92 × 4,047.88
  4. Step 4: Simplify right side
    10,622.92x = 64,502,643.97
  5. Step 5: Solve for x
    x = 64,502,643.97/10,622.92
  6. Step 6: Final answer
    x = 6,072.03

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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.