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Finding the Fourth Proportional to 8,506.48, 12,759.74 and 2,583.41

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Solution

The fourth proportional to 8,506.48, 12,759.74 and 2,583.41 is: 3,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.48 : 12,759.74 = 2,583.41 : x
  2. Step 2: Convert to fraction form
    8,506.48/12,759.74 = 2,583.41/x
  3. Step 3: Cross multiply
    8,506.48x = 12,759.74 × 2,583.41
  4. Step 4: Simplify right side
    8,506.48x = 32,963,639.91
  5. Step 5: Solve for x
    x = 32,963,639.91/8,506.48
  6. Step 6: Final answer
    x = 3,875.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.