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Finding the Fourth Proportional to 8,094.96, 12,138.48 and 3,710.88

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Solution

The fourth proportional to 8,094.96, 12,138.48 and 3,710.88 is: 5,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.96 : 12,138.48 = 3,710.88 : x
  2. Step 2: Convert to fraction form
    8,094.96/12,138.48 = 3,710.88/x
  3. Step 3: Cross multiply
    8,094.96x = 12,138.48 × 3,710.88
  4. Step 4: Simplify right side
    8,094.96x = 45,044,442.66
  5. Step 5: Solve for x
    x = 45,044,442.66/8,094.96
  6. Step 6: Final answer
    x = 5,564.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.