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Finding the Fourth Proportional to 11,673.34, 16,110.56 and 6,499.74

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Solution

The fourth proportional to 11,673.34, 16,110.56 and 6,499.74 is: 8,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.34 : 16,110.56 = 6,499.74 : x
  2. Step 2: Convert to fraction form
    11,673.34/16,110.56 = 6,499.74/x
  3. Step 3: Cross multiply
    11,673.34x = 16,110.56 × 6,499.74
  4. Step 4: Simplify right side
    11,673.34x = 104,714,338.20
  5. Step 5: Solve for x
    x = 104,714,338.20/11,673.34
  6. Step 6: Final answer
    x = 8,970.38

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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.