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Finding the Fourth Proportional to 8,763.66, 12,094.12 and 5,406.38

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Solution

The fourth proportional to 8,763.66, 12,094.12 and 5,406.38 is: 7,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.66 : 12,094.12 = 5,406.38 : x
  2. Step 2: Convert to fraction form
    8,763.66/12,094.12 = 5,406.38/x
  3. Step 3: Cross multiply
    8,763.66x = 12,094.12 × 5,406.38
  4. Step 4: Simplify right side
    8,763.66x = 65,385,408.49
  5. Step 5: Solve for x
    x = 65,385,408.49/8,763.66
  6. Step 6: Final answer
    x = 7,460.97

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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.