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Finding the Fourth Proportional to 10,635.60, 14,677.77 and 5,919.88

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Solution

The fourth proportional to 10,635.60, 14,677.77 and 5,919.88 is: 8,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.60 : 14,677.77 = 5,919.88 : x
  2. Step 2: Convert to fraction form
    10,635.60/14,677.77 = 5,919.88/x
  3. Step 3: Cross multiply
    10,635.60x = 14,677.77 × 5,919.88
  4. Step 4: Simplify right side
    10,635.60x = 86,890,637.07
  5. Step 5: Solve for x
    x = 86,890,637.07/10,635.60
  6. Step 6: Final answer
    x = 8,169.79

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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.