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Finding the Fourth Proportional to 10,552.16, 14,561.81 and 5,771.99

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Solution

The fourth proportional to 10,552.16, 14,561.81 and 5,771.99 is: 7,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.16 : 14,561.81 = 5,771.99 : x
  2. Step 2: Convert to fraction form
    10,552.16/14,561.81 = 5,771.99/x
  3. Step 3: Cross multiply
    10,552.16x = 14,561.81 × 5,771.99
  4. Step 4: Simplify right side
    10,552.16x = 84,050,520.03
  5. Step 5: Solve for x
    x = 84,050,520.03/10,552.16
  6. Step 6: Final answer
    x = 7,965.25

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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.