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Finding the Fourth Proportional to 8,401.42, 11,595.23 and 5,046.07

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Solution

The fourth proportional to 8,401.42, 11,595.23 and 5,046.07 is: 6,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.42 : 11,595.23 = 5,046.07 : x
  2. Step 2: Convert to fraction form
    8,401.42/11,595.23 = 5,046.07/x
  3. Step 3: Cross multiply
    8,401.42x = 11,595.23 × 5,046.07
  4. Step 4: Simplify right side
    8,401.42x = 58,510,347.11
  5. Step 5: Solve for x
    x = 58,510,347.11/8,401.42
  6. Step 6: Final answer
    x = 6,964.34

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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.