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Finding the Fourth Proportional to 8,032.60, 12,047.46 and 2,188.72

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Solution

The fourth proportional to 8,032.60, 12,047.46 and 2,188.72 is: 3,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.60 : 12,047.46 = 2,188.72 : x
  2. Step 2: Convert to fraction form
    8,032.60/12,047.46 = 2,188.72/x
  3. Step 3: Cross multiply
    8,032.60x = 12,047.46 × 2,188.72
  4. Step 4: Simplify right side
    8,032.60x = 26,368,516.65
  5. Step 5: Solve for x
    x = 26,368,516.65/8,032.60
  6. Step 6: Final answer
    x = 3,282.69

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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.