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Finding the Fourth Proportional to 7,221, 10,826.81 and 4,748.31

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Solution

The fourth proportional to 7,221, 10,826.81 and 4,748.31 is: 7,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221 : 10,826.81 = 4,748.31 : x
  2. Step 2: Convert to fraction form
    7,221/10,826.81 = 4,748.31/x
  3. Step 3: Cross multiply
    7,221x = 10,826.81 × 4,748.31
  4. Step 4: Simplify right side
    7,221x = 51,409,050.19
  5. Step 5: Solve for x
    x = 51,409,050.19/7,221
  6. Step 6: Final answer
    x = 7,119.38

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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.