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Finding the Fourth Proportional to 11,057.34, 16,577.71 and 6,673.77

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Solution

The fourth proportional to 11,057.34, 16,577.71 and 6,673.77 is: 10,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.34 : 16,577.71 = 6,673.77 : x
  2. Step 2: Convert to fraction form
    11,057.34/16,577.71 = 6,673.77/x
  3. Step 3: Cross multiply
    11,057.34x = 16,577.71 × 6,673.77
  4. Step 4: Simplify right side
    11,057.34x = 110,635,823.67
  5. Step 5: Solve for x
    x = 110,635,823.67/11,057.34
  6. Step 6: Final answer
    x = 10,005.65

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