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Finding the Fourth Proportional to 7,906, 10,911.24 and 4,594

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Solution

The fourth proportional to 7,906, 10,911.24 and 4,594 is: 6,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906 : 10,911.24 = 4,594 : x
  2. Step 2: Convert to fraction form
    7,906/10,911.24 = 4,594/x
  3. Step 3: Cross multiply
    7,906x = 10,911.24 × 4,594
  4. Step 4: Simplify right side
    7,906x = 50,126,236.56
  5. Step 5: Solve for x
    x = 50,126,236.56/7,906
  6. Step 6: Final answer
    x = 6,340.28

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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.