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Finding the Fourth Proportional to 8,357.60, 12,534.60 and 3,677.60

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Solution

The fourth proportional to 8,357.60, 12,534.60 and 3,677.60 is: 5,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.60 : 12,534.60 = 3,677.60 : x
  2. Step 2: Convert to fraction form
    8,357.60/12,534.60 = 3,677.60/x
  3. Step 3: Cross multiply
    8,357.60x = 12,534.60 × 3,677.60
  4. Step 4: Simplify right side
    8,357.60x = 46,097,244.96
  5. Step 5: Solve for x
    x = 46,097,244.96/8,357.60
  6. Step 6: Final answer
    x = 5,515.61

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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.