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Finding the Fourth Proportional to 7,236, 10,853.99 and 4,752.86

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Solution

The fourth proportional to 7,236, 10,853.99 and 4,752.86 is: 7,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236 : 10,853.99 = 4,752.86 : x
  2. Step 2: Convert to fraction form
    7,236/10,853.99 = 4,752.86/x
  3. Step 3: Cross multiply
    7,236x = 10,853.99 × 4,752.86
  4. Step 4: Simplify right side
    7,236x = 51,587,494.91
  5. Step 5: Solve for x
    x = 51,587,494.91/7,236
  6. Step 6: Final answer
    x = 7,129.28

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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.