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Finding the Fourth Proportional to 10,635.89, 14,677.77 and 5,920.49

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Solution

The fourth proportional to 10,635.89, 14,677.77 and 5,920.49 is: 8,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.89 : 14,677.77 = 5,920.49 : x
  2. Step 2: Convert to fraction form
    10,635.89/14,677.77 = 5,920.49/x
  3. Step 3: Cross multiply
    10,635.89x = 14,677.77 × 5,920.49
  4. Step 4: Simplify right side
    10,635.89x = 86,899,590.51
  5. Step 5: Solve for x
    x = 86,899,590.51/10,635.89
  6. Step 6: Final answer
    x = 8,170.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.