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Finding the Fourth Proportional to 10,427.66, 15,634.58 and 5,749.94

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Solution

The fourth proportional to 10,427.66, 15,634.58 and 5,749.94 is: 8,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.66 : 15,634.58 = 5,749.94 : x
  2. Step 2: Convert to fraction form
    10,427.66/15,634.58 = 5,749.94/x
  3. Step 3: Cross multiply
    10,427.66x = 15,634.58 × 5,749.94
  4. Step 4: Simplify right side
    10,427.66x = 89,897,896.93
  5. Step 5: Solve for x
    x = 89,897,896.93/10,427.66
  6. Step 6: Final answer
    x = 8,621.10

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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.