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Finding the Fourth Proportional to 13,577.28, 18,737.38 and 7,610.86

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Solution

The fourth proportional to 13,577.28, 18,737.38 and 7,610.86 is: 10,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.28 : 18,737.38 = 7,610.86 : x
  2. Step 2: Convert to fraction form
    13,577.28/18,737.38 = 7,610.86/x
  3. Step 3: Cross multiply
    13,577.28x = 18,737.38 × 7,610.86
  4. Step 4: Simplify right side
    13,577.28x = 142,607,608.88
  5. Step 5: Solve for x
    x = 142,607,608.88/13,577.28
  6. Step 6: Final answer
    x = 10,503.40

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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.