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Finding the Fourth Proportional to 7,527.06, 10,387.22 and 4,169.86

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Solution

The fourth proportional to 7,527.06, 10,387.22 and 4,169.86 is: 5,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.06 : 10,387.22 = 4,169.86 : x
  2. Step 2: Convert to fraction form
    7,527.06/10,387.22 = 4,169.86/x
  3. Step 3: Cross multiply
    7,527.06x = 10,387.22 × 4,169.86
  4. Step 4: Simplify right side
    7,527.06x = 43,313,253.19
  5. Step 5: Solve for x
    x = 43,313,253.19/7,527.06
  6. Step 6: Final answer
    x = 5,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.