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Finding the Fourth Proportional to 7,228.32, 10,828.48 and 4,755.68

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Solution

The fourth proportional to 7,228.32, 10,828.48 and 4,755.68 is: 7,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.32 : 10,828.48 = 4,755.68 : x
  2. Step 2: Convert to fraction form
    7,228.32/10,828.48 = 4,755.68/x
  3. Step 3: Cross multiply
    7,228.32x = 10,828.48 × 4,755.68
  4. Step 4: Simplify right side
    7,228.32x = 51,496,785.77
  5. Step 5: Solve for x
    x = 51,496,785.77/7,228.32
  6. Step 6: Final answer
    x = 7,124.31

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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.