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Finding the Fourth Proportional to 11,110.70, 16,670.85 and 5,638.70

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Solution

The fourth proportional to 11,110.70, 16,670.85 and 5,638.70 is: 8,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,110.70 : 16,670.85 = 5,638.70 : x
  2. Step 2: Convert to fraction form
    11,110.70/16,670.85 = 5,638.70/x
  3. Step 3: Cross multiply
    11,110.70x = 16,670.85 × 5,638.70
  4. Step 4: Simplify right side
    11,110.70x = 94,001,921.90
  5. Step 5: Solve for x
    x = 94,001,921.90/11,110.70
  6. Step 6: Final answer
    x = 8,460.49

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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.