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Finding the Fourth Proportional to 10,572.12, 15,846.84 and 5,022

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Solution

The fourth proportional to 10,572.12, 15,846.84 and 5,022 is: 7,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.12 : 15,846.84 = 5,022 : x
  2. Step 2: Convert to fraction form
    10,572.12/15,846.84 = 5,022/x
  3. Step 3: Cross multiply
    10,572.12x = 15,846.84 × 5,022
  4. Step 4: Simplify right side
    10,572.12x = 79,582,830.48
  5. Step 5: Solve for x
    x = 79,582,830.48/10,572.12
  6. Step 6: Final answer
    x = 7,527.61

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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.