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Finding the Fourth Proportional to 10,151.42, 13,997.54 and 6,561.63

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Solution

The fourth proportional to 10,151.42, 13,997.54 and 6,561.63 is: 9,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.42 : 13,997.54 = 6,561.63 : x
  2. Step 2: Convert to fraction form
    10,151.42/13,997.54 = 6,561.63/x
  3. Step 3: Cross multiply
    10,151.42x = 13,997.54 × 6,561.63
  4. Step 4: Simplify right side
    10,151.42x = 91,846,694.79
  5. Step 5: Solve for x
    x = 91,846,694.79/10,151.42
  6. Step 6: Final answer
    x = 9,047.67

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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.