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Finding the Fourth Proportional to 8,275.58, 12,409.46 and 3,006.87

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Solution

The fourth proportional to 8,275.58, 12,409.46 and 3,006.87 is: 4,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.58 : 12,409.46 = 3,006.87 : x
  2. Step 2: Convert to fraction form
    8,275.58/12,409.46 = 3,006.87/x
  3. Step 3: Cross multiply
    8,275.58x = 12,409.46 × 3,006.87
  4. Step 4: Simplify right side
    8,275.58x = 37,313,640.51
  5. Step 5: Solve for x
    x = 37,313,640.51/8,275.58
  6. Step 6: Final answer
    x = 4,508.89

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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.