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Finding the Fourth Proportional to 7,541, 10,407.06 and 4,229

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Solution

The fourth proportional to 7,541, 10,407.06 and 4,229 is: 5,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541 : 10,407.06 = 4,229 : x
  2. Step 2: Convert to fraction form
    7,541/10,407.06 = 4,229/x
  3. Step 3: Cross multiply
    7,541x = 10,407.06 × 4,229
  4. Step 4: Simplify right side
    7,541x = 44,011,456.74
  5. Step 5: Solve for x
    x = 44,011,456.74/7,541
  6. Step 6: Final answer
    x = 5,836.29

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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.