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Finding the Fourth Proportional to 8,585.92, 12,881.64 and 3,907.60

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Solution

The fourth proportional to 8,585.92, 12,881.64 and 3,907.60 is: 5,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.92 : 12,881.64 = 3,907.60 : x
  2. Step 2: Convert to fraction form
    8,585.92/12,881.64 = 3,907.60/x
  3. Step 3: Cross multiply
    8,585.92x = 12,881.64 × 3,907.60
  4. Step 4: Simplify right side
    8,585.92x = 50,336,296.46
  5. Step 5: Solve for x
    x = 50,336,296.46/8,585.92
  6. Step 6: Final answer
    x = 5,862.66

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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.