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Finding the Fourth Proportional to 8,574.84, 12,862.02 and 2,731.80

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Solution

The fourth proportional to 8,574.84, 12,862.02 and 2,731.80 is: 4,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.84 : 12,862.02 = 2,731.80 : x
  2. Step 2: Convert to fraction form
    8,574.84/12,862.02 = 2,731.80/x
  3. Step 3: Cross multiply
    8,574.84x = 12,862.02 × 2,731.80
  4. Step 4: Simplify right side
    8,574.84x = 35,136,466.24
  5. Step 5: Solve for x
    x = 35,136,466.24/8,574.84
  6. Step 6: Final answer
    x = 4,097.62

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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.