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Finding the Fourth Proportional to 10,427.79, 15,643.99 and 5,745.39

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Solution

The fourth proportional to 10,427.79, 15,643.99 and 5,745.39 is: 8,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.79 : 15,643.99 = 5,745.39 : x
  2. Step 2: Convert to fraction form
    10,427.79/15,643.99 = 5,745.39/x
  3. Step 3: Cross multiply
    10,427.79x = 15,643.99 × 5,745.39
  4. Step 4: Simplify right side
    10,427.79x = 89,880,830.89
  5. Step 5: Solve for x
    x = 89,880,830.89/10,427.79
  6. Step 6: Final answer
    x = 8,619.36

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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.