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Finding the Fourth Proportional to 7,418, 10,236.84 and 4,106

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Solution

The fourth proportional to 7,418, 10,236.84 and 4,106 is: 5,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418 : 10,236.84 = 4,106 : x
  2. Step 2: Convert to fraction form
    7,418/10,236.84 = 4,106/x
  3. Step 3: Cross multiply
    7,418x = 10,236.84 × 4,106
  4. Step 4: Simplify right side
    7,418x = 42,032,465.04
  5. Step 5: Solve for x
    x = 42,032,465.04/7,418
  6. Step 6: Final answer
    x = 5,666.28

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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.