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Finding the Fourth Proportional to 8,415.60, 12,611.97 and 4,465.86

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Solution

The fourth proportional to 8,415.60, 12,611.97 and 4,465.86 is: 6,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.60 : 12,611.97 = 4,465.86 : x
  2. Step 2: Convert to fraction form
    8,415.60/12,611.97 = 4,465.86/x
  3. Step 3: Cross multiply
    8,415.60x = 12,611.97 × 4,465.86
  4. Step 4: Simplify right side
    8,415.60x = 56,323,292.34
  5. Step 5: Solve for x
    x = 56,323,292.34/8,415.60
  6. Step 6: Final answer
    x = 6,692.72

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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.