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Finding the Fourth Proportional to 8,410.72, 12,611.80 and 4,901.84

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Solution

The fourth proportional to 8,410.72, 12,611.80 and 4,901.84 is: 7,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.72 : 12,611.80 = 4,901.84 : x
  2. Step 2: Convert to fraction form
    8,410.72/12,611.80 = 4,901.84/x
  3. Step 3: Cross multiply
    8,410.72x = 12,611.80 × 4,901.84
  4. Step 4: Simplify right side
    8,410.72x = 61,821,025.71
  5. Step 5: Solve for x
    x = 61,821,025.71/8,410.72
  6. Step 6: Final answer
    x = 7,350.27

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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.