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Finding the Fourth Proportional to 10,561.36, 15,847.98 and 7,277.08

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Solution

The fourth proportional to 10,561.36, 15,847.98 and 7,277.08 is: 10,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.36 : 15,847.98 = 7,277.08 : x
  2. Step 2: Convert to fraction form
    10,561.36/15,847.98 = 7,277.08/x
  3. Step 3: Cross multiply
    10,561.36x = 15,847.98 × 7,277.08
  4. Step 4: Simplify right side
    10,561.36x = 115,327,018.30
  5. Step 5: Solve for x
    x = 115,327,018.30/10,561.36
  6. Step 6: Final answer
    x = 10,919.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.