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Finding the Fourth Proportional to 8,411.80, 12,600.30 and 5,770.40

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Solution

The fourth proportional to 8,411.80, 12,600.30 and 5,770.40 is: 8,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.80 : 12,600.30 = 5,770.40 : x
  2. Step 2: Convert to fraction form
    8,411.80/12,600.30 = 5,770.40/x
  3. Step 3: Cross multiply
    8,411.80x = 12,600.30 × 5,770.40
  4. Step 4: Simplify right side
    8,411.80x = 72,708,771.12
  5. Step 5: Solve for x
    x = 72,708,771.12/8,411.80
  6. Step 6: Final answer
    x = 8,643.66

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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.