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Finding the Fourth Proportional to 10,277.60, 14,183.04 and 5,561.84

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Solution

The fourth proportional to 10,277.60, 14,183.04 and 5,561.84 is: 7,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.60 : 14,183.04 = 5,561.84 : x
  2. Step 2: Convert to fraction form
    10,277.60/14,183.04 = 5,561.84/x
  3. Step 3: Cross multiply
    10,277.60x = 14,183.04 × 5,561.84
  4. Step 4: Simplify right side
    10,277.60x = 78,883,799.19
  5. Step 5: Solve for x
    x = 78,883,799.19/10,277.60
  6. Step 6: Final answer
    x = 7,675.31

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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.