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Finding the Fourth Proportional to 10,277.66, 14,183.07 and 5,561.84

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Solution

The fourth proportional to 10,277.66, 14,183.07 and 5,561.84 is: 7,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.66 : 14,183.07 = 5,561.84 : x
  2. Step 2: Convert to fraction form
    10,277.66/14,183.07 = 5,561.84/x
  3. Step 3: Cross multiply
    10,277.66x = 14,183.07 × 5,561.84
  4. Step 4: Simplify right side
    10,277.66x = 78,883,966.05
  5. Step 5: Solve for x
    x = 78,883,966.05/10,277.66
  6. Step 6: Final answer
    x = 7,675.28

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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.