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Finding the Fourth Proportional to 8,385.14, 11,568.62 and 5,029.11

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Solution

The fourth proportional to 8,385.14, 11,568.62 and 5,029.11 is: 6,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.14 : 11,568.62 = 5,029.11 : x
  2. Step 2: Convert to fraction form
    8,385.14/11,568.62 = 5,029.11/x
  3. Step 3: Cross multiply
    8,385.14x = 11,568.62 × 5,029.11
  4. Step 4: Simplify right side
    8,385.14x = 58,179,875.10
  5. Step 5: Solve for x
    x = 58,179,875.10/8,385.14
  6. Step 6: Final answer
    x = 6,938.45

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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.