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Finding the Fourth Proportional to 10,622.52, 15,939.14 and 7,522.45

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Solution

The fourth proportional to 10,622.52, 15,939.14 and 7,522.45 is: 11,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.52 : 15,939.14 = 7,522.45 : x
  2. Step 2: Convert to fraction form
    10,622.52/15,939.14 = 7,522.45/x
  3. Step 3: Cross multiply
    10,622.52x = 15,939.14 × 7,522.45
  4. Step 4: Simplify right side
    10,622.52x = 119,901,306.23
  5. Step 5: Solve for x
    x = 119,901,306.23/10,622.52
  6. Step 6: Final answer
    x = 11,287.46

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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.