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Finding the Fourth Proportional to 13,070.56, 18,035.40 and 7,763.44

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Solution

The fourth proportional to 13,070.56, 18,035.40 and 7,763.44 is: 10,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.56 : 18,035.40 = 7,763.44 : x
  2. Step 2: Convert to fraction form
    13,070.56/18,035.40 = 7,763.44/x
  3. Step 3: Cross multiply
    13,070.56x = 18,035.40 × 7,763.44
  4. Step 4: Simplify right side
    13,070.56x = 140,016,745.78
  5. Step 5: Solve for x
    x = 140,016,745.78/13,070.56
  6. Step 6: Final answer
    x = 10,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.