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Finding the Fourth Proportional to 8,411.13, 11,595.23 and 5,885.42

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Solution

The fourth proportional to 8,411.13, 11,595.23 and 5,885.42 is: 8,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.13 : 11,595.23 = 5,885.42 : x
  2. Step 2: Convert to fraction form
    8,411.13/11,595.23 = 5,885.42/x
  3. Step 3: Cross multiply
    8,411.13x = 11,595.23 × 5,885.42
  4. Step 4: Simplify right side
    8,411.13x = 68,242,711.14
  5. Step 5: Solve for x
    x = 68,242,711.14/8,411.13
  6. Step 6: Final answer
    x = 8,113.38

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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.