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Finding the Fourth Proportional to 13,160.09, 19,745.60 and 5,760.74

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Solution

The fourth proportional to 13,160.09, 19,745.60 and 5,760.74 is: 8,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.09 : 19,745.60 = 5,760.74 : x
  2. Step 2: Convert to fraction form
    13,160.09/19,745.60 = 5,760.74/x
  3. Step 3: Cross multiply
    13,160.09x = 19,745.60 × 5,760.74
  4. Step 4: Simplify right side
    13,160.09x = 113,749,140.21
  5. Step 5: Solve for x
    x = 113,749,140.21/13,160.09
  6. Step 6: Final answer
    x = 8,643.50

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Why These Related Problems?

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