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Finding the Fourth Proportional to 8,602.20, 12,897.63 and 4,157.46

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Solution

The fourth proportional to 8,602.20, 12,897.63 and 4,157.46 is: 6,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.20 : 12,897.63 = 4,157.46 : x
  2. Step 2: Convert to fraction form
    8,602.20/12,897.63 = 4,157.46/x
  3. Step 3: Cross multiply
    8,602.20x = 12,897.63 × 4,157.46
  4. Step 4: Simplify right side
    8,602.20x = 53,621,380.82
  5. Step 5: Solve for x
    x = 53,621,380.82/8,602.20
  6. Step 6: Final answer
    x = 6,233.45

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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.