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Finding the Fourth Proportional to 10,064.56, 13,889.21 and 5,527.44

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Solution

The fourth proportional to 10,064.56, 13,889.21 and 5,527.44 is: 7,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.56 : 13,889.21 = 5,527.44 : x
  2. Step 2: Convert to fraction form
    10,064.56/13,889.21 = 5,527.44/x
  3. Step 3: Cross multiply
    10,064.56x = 13,889.21 × 5,527.44
  4. Step 4: Simplify right side
    10,064.56x = 76,771,774.92
  5. Step 5: Solve for x
    x = 76,771,774.92/10,064.56
  6. Step 6: Final answer
    x = 7,627.93

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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.